2024-03-28T19:49:02Z
https://pub.uni-bielefeld.de/oai
oai:pub.uni-bielefeld.de:1774842
2018-07-24T12:59:15Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The weak capacity of averaged channels
Ahlswede, Rudolf
Wahrscheinlichkeitsrechnung
ddc:510
Ahlswede R. The weak capacity of averaged channels. <em>Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete</em>. 1968;11(1):61-73.
Coding theorem and weak converse of the coding theorem are proved for averaged semicontinuous stationary channels and for almost periodic discrete channels, whose phases are statistically known. Explicit formulas for the capacities are given. The strong converses of the coding theorems do not hold.
Springer Science and Business Media LLC
1968
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748421
https://pub.uni-bielefeld.de/record/1774842
https://pub.uni-bielefeld.de/download/1774842/2311640
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00538386
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1968C243300007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774845
2018-07-24T12:58:59Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Beiträge zur Shannonschen Informationstheorie im Falle nichtstationärer Kanäle
Ahlswede, Rudolf
Wahrscheinlichkeitsrechnung
ddc:510
Ahlswede R. Beiträge zur Shannonschen Informationstheorie im Falle nichtstationärer Kanäle. <em>Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete</em>. 1968;10(1):1-42.
Coding theorem and strong converse of the coding theorem are proved for nonstationary semicontinous channels and for almost periodic channels with unknown phase. More general cases are considered.
Springer Science and Business Media LLC
1968
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748457
https://pub.uni-bielefeld.de/record/1774845
https://pub.uni-bielefeld.de/download/1774845/2311642
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00572920
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1968B356000001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774851
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The capacity of a channel with arbitrarily varying channel probability functions and binary output
Ahlswede, Rudolf
Wolfowitz, J.
ddc:510
Ahlswede R, Wolfowitz J. The capacity of a channel with arbitrarily varying channel probability functions and binary output. <em>Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete</em>. 1970;15(3):186-194.
Springer Science and Business Media LLC
1970
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748516
https://pub.uni-bielefeld.de/record/1774851
https://pub.uni-bielefeld.de/download/1774851/2311647
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00534915
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1970G755100003
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774854
2018-07-24T12:59:15Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Channels with arbitrarily varying channel probability functions in the presence of noiseless feedback
Ahlswede, Rudolf
ddc:510
Ahlswede R. Channels with arbitrarily varying channel probability functions in the presence of noiseless feedback. <em>Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete</em>. 1973;25(3):239-252.
In this article we study a channel with arbitrarily varying channel probability functions in the presence of a noiseless feedback channel (a.v.ch.f.). We determine its capacity by proving a coding theorem and its strong converse. Our proof of the coding theorem is constructive; we give explicitly a coding scheme which performs at any rate below the capacity with an arbitrarily small decoding error probability. The proof makes use of a new method ([1]) to prove the coding theorem for discrete memoryless channels with noiseless feedback (d.m.c.f.). It was emphasized in [1] that the method is not based on random coding or maximal coding ideas, and it is this fact that makes it particularly suited for proving coding theorems for certain systems of channels with noiseless feedback. As a consequence of our results we obtain a formula for the zero-error capacity of a d.m.c.f., which was conjectured by Shannon ([8], p. 19).
Springer Science and Business Media LLC
1973
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748544
https://pub.uni-bielefeld.de/record/1774854
https://pub.uni-bielefeld.de/download/1774854/2311648
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00535895
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1973P116600007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774856
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Bounds on conditional probabilities with applications in multi-user communication
Ahlswede, Rudolf
Gács, Peter
Körner, János
ddc:510
Ahlswede R, Gács P, Körner J. Bounds on conditional probabilities with applications in multi-user communication. <em>Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete</em>. 1976;34(2):157-177.
Springer Science and Business Media LLC
1976
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748561
https://pub.uni-bielefeld.de/record/1774856
https://pub.uni-bielefeld.de/download/1774856/2311649
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00535682
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1976BH86400006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774860
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Correction to: Bounds on conditional probabilities with applications
Ahlswede, Rudolf
Gács, Peter
Körner, János
ddc:510
Ahlswede R, Gács P, Körner J. Correction to: Bounds on conditional probabilities with applications. <em>Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete</em>. 1977;39(4):353-354.
Springer Science and Business Media LLC
1977
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748602
https://pub.uni-bielefeld.de/record/1774860
https://pub.uni-bielefeld.de/download/1774860/2311650
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01877500
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1977DS06400007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774864
2018-07-24T12:58:59Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Every bad code has a good subcode: a local converse to the coding theorem
Ahlswede, Rudolf
Dueck, Gunter
ddc:510
Ahlswede R, Dueck G. Every bad code has a good subcode: a local converse to the coding theorem. <em>Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete</em>. 1976;34(2):179-182.
Springer Science and Business Media LLC
1976
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748642
https://pub.uni-bielefeld.de/record/1774864
https://pub.uni-bielefeld.de/download/1774864/2311651
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00535683
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1976BH86400007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774867
2018-07-24T12:59:33Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Elimination of correlation in random codes for arbitrarily varying channels
Ahlswede, Rudolf
ddc:510
Ahlswede R. Elimination of correlation in random codes for arbitrarily varying channels. <em>Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete</em>. 1978;44(2):159-175.
The author determines for arbitrarily varying channels a) the average error capacity and b) the maximal error capacity in case of randomized encoding. A formula for the average error capacity in case of randomized encoding was announced several years ago by Dobrushin ([3]). Under a mild regularity condition this formula turns out to be valid and follows as consequence from either a) or b).
Springer Science and Business Media LLC
1978
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748676
https://pub.uni-bielefeld.de/record/1774867
https://pub.uni-bielefeld.de/download/1774867/2311652
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00533053
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1978FP03500007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774869
2018-07-24T12:58:59Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
An inequality for the weights of two families of sets, their unions and intersections
Ahlswede, Rudolf
Daykin, David E.
ddc:510
Ahlswede R, Daykin DE. An inequality for the weights of two families of sets, their unions and intersections. <em>Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete</em>. 1978;43(3):183-185.
Springer Science and Business Media LLC
1978
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748695
https://pub.uni-bielefeld.de/record/1774869
https://pub.uni-bielefeld.de/download/1774869/2311653
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00536201
info:eu-repo/semantics/altIdentifier/issn/0044-3719
info:eu-repo/semantics/altIdentifier/issn/1432-2064
info:eu-repo/semantics/altIdentifier/wos/A1978FG13400001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774872
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Group Codes do not Achieve Shannon's Channel Capacity for General Discrete Channels
Ahlswede, Rudolf
ddc:510
Ahlswede R. Group Codes do not Achieve Shannon's Channel Capacity for General Discrete Channels. <em>The Annals of Mathematical Statistics</em>. 1971;42(1):224-240.
Institute of Mathematical Statistics
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748723
https://pub.uni-bielefeld.de/record/1774872
https://pub.uni-bielefeld.de/download/1774872/2311654
eng
info:eu-repo/semantics/altIdentifier/doi/10.1214/aoms/1177693508
info:eu-repo/semantics/altIdentifier/issn/0003-4851
info:eu-repo/semantics/altIdentifier/wos/A1971J258900019
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774874
2018-07-24T12:59:33Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Inequalities for a pair of maps S x S -> S with S a finite set
Ahlswede, Rudolf
Daykin, David E.
ddc:510
Ahlswede R, Daykin DE. Inequalities for a pair of maps S x S -> S with S a finite set. <em>Mathematische Zeitschrift</em>. 1979;165(3):267-289.
Springer Science and Business Media LLC
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748741
https://pub.uni-bielefeld.de/record/1774874
https://pub.uni-bielefeld.de/download/1774874/2311655
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01437563
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1979GM33500008
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774877
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Diametric theorems in sequence spaces
Ahlswede, Rudolf
Cai, Ning
Zhang, Zhen
ddc:510
Ahlswede R, Cai N, Zhang Z. Diametric theorems in sequence spaces. <em>Combinatorica</em>. 1992;12(1):1-17.
We determine in almost all Manhattan lattices configurations, which for specified diameter have maximal cardinality. Cases, in which those configurations are spheres, have been studied recently by Kleitman and Fellows. For Hamming spaces we present a partial result supplementing a result of Frankl and Füredi and we formulate a general conjecture.
Springer Science and Business Media LLC
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17748771
https://pub.uni-bielefeld.de/record/1774877
https://pub.uni-bielefeld.de/download/1774877/2311656
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01191200
info:eu-repo/semantics/altIdentifier/issn/0209-9683
info:eu-repo/semantics/altIdentifier/issn/1439-6912
info:eu-repo/semantics/altIdentifier/wos/A1992HT72000001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774905
2019-07-12T13:10:01Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Remarks on band matrices
Elsner, Ludwig
Redheffer, Raymond M.
ddc:510
Elsner L, Redheffer RM. Remarks on band matrices. <em>Numerische Mathematik</em>. 1967;10(2):153-161.
In this note we consider band- or tridiagonal-matrices of order k whose elements above, on, and below the diagonal are denoted by b i, a i,c i. In the periodic case, i.e. b i+m=b i etc., we derive for k=nm and k=nm–1 formulas for the characteristic polynomial and the eigenvectors under the assumption that [Pi] m i=1 c ib i>0. In the latter case it is shown that the characteristic polynomial is divisible by the m–1-th minor, as was already observed by Rósa. We also give estimations for the number of real roots and an application to Fibonacci numbers.
Springer Science and Business Media LLC
1967
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749053
https://pub.uni-bielefeld.de/record/1774905
https://pub.uni-bielefeld.de/download/1774905/2311671
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF02174148
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A19679668100008
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774908
2019-07-12T13:38:02Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem
Elsner, Ludwig
ddc:510
Elsner L. A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem. <em>Numerische Mathematik</em>. 1973;21(5):425-427.
By using Gershgorin's theorem and the theorems on minimal Gershgorin disks a posteriori error bounds for the zeros of a polynomial are deduced, from which the bounds given in [1] by Braess and Hadeler are easily obtained.
Springer Science and Business Media LLC
1973
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749086
https://pub.uni-bielefeld.de/record/1774908
https://pub.uni-bielefeld.de/download/1774908/2311672
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01436492
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A1973R912600007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774910
2019-07-12T13:33:59Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Bemerkung zu einer Arbeit von Marshall und Olkin
Elsner, Ludwig
ddc:510
Elsner L. Bemerkung zu einer Arbeit von Marshall und Olkin. <em>Numerische Mathematik</em>. 1969;13(3):245-246.
Springer Science and Business Media LLC
1969
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749102
https://pub.uni-bielefeld.de/record/1774910
https://pub.uni-bielefeld.de/download/1774910/2311673
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF02167555
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A1969D745500006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774912
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
A note on optimal block-scaling of matrices
Elsner, Ludwig
ddc:510
Elsner L. A note on optimal block-scaling of matrices. <em>Numerische Mathematik</em>. 1984;44(1):127-128.
After pointing out that two recent results on optimal blockscaling are equivalent, a new short and simple proof of both results is given.
Springer Science and Business Media LLC
1984
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749126
https://pub.uni-bielefeld.de/record/1774912
https://pub.uni-bielefeld.de/download/1774912/2311674
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01389760
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A1984SZ01900010
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774914
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Comparisons of weak regular splittings and multisplitting methods
Elsner, Ludwig
ddc:510
Elsner L. Comparisons of weak regular splittings and multisplitting methods. <em>Numerische Mathematik</em>. 1989;56(2-3):283-289.
Springer Science and Business Media LLC
1989
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749149
https://pub.uni-bielefeld.de/record/1774914
https://pub.uni-bielefeld.de/download/1774914/2311675
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01409790
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A1989AW36000011
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774916
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Convergence properties of ART and SOR algorithms
Elsner, Ludwig
Koltracht, Israel
Lancaster, Peter
ddc:510
Elsner L, Koltracht I, Lancaster P. Convergence properties of ART and SOR algorithms. <em>Numerische Mathematik</em>. 1991;59(1):91-106.
ART algorithms with relaxation parameters are studied for general (consistent or inconsistent) linear algebraic systems Rx = f, and a general convergence theorem is formulated. The advantage of severe underrelaxation is re-examined and clarified. The relationship to solutions obtained by applying SOR methods to the equation RR(T)y = f is investigated.
Springer Science and Business Media LLC
1991
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749165
https://pub.uni-bielefeld.de/record/1774916
https://pub.uni-bielefeld.de/download/1774916/2311676
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01385772
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A1991FK99000006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774920
2018-07-24T12:59:33Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations
Elsner, Ludwig
Mehrmann, Volker
ddc:510
Elsner L, Mehrmann V. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. <em>Numerische Mathematik</em>. 1991;59(1):541-559.
We discuss block matrices of the form A = [A(ij)], where A(ij) is a k x k symmetric matrix, A(ii) is positive definite and A(ij) is negative semidefinite. These matrices are natural block-generalizations of Z-matrices and M-matrices. Matrices of this type arise in the numerical solution of Euler equations in fluid flow computations. We discuss properties of these matrices, in particular we prove convergence of block iterative methods for linear systems with such system matrices.
Springer Science and Business Media LLC
1991
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749205
https://pub.uni-bielefeld.de/record/1774920
https://pub.uni-bielefeld.de/download/1774920/2311677
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01385795
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A1991GF38700001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774923
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Convergence of sequential and asynchronous nonlinear paracontractions
Elsner, Ludwig
Koltracht, Israel
Neumann, Michael
ddc:510
Elsner L, Koltracht I, Neumann M. Convergence of sequential and asynchronous nonlinear paracontractions. <em>Numerische Mathematik</em>. 1992;62(1):305-319.
We establish the convergence of sequential and asynchronous iteration schemes for nonlinear paracontracting operators acting in finite dimensional spaces. Applications to the solution of linear systems of equations with convex constraints are outlined. A first generalization of one of our convergence results to an infinite pool of asymptotically paracontracting operators is also presented.
Springer Science and Business Media LLC
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749239
https://pub.uni-bielefeld.de/record/1774923
https://pub.uni-bielefeld.de/download/1774923/2311678
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01396232
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A1992JD33500002
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774941
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Nilpotente Liesche Gruppen haben symmetrische Gruppenalgebren
Poguntke, Detlev
ddc:510
Poguntke D. Nilpotente Liesche Gruppen haben symmetrische Gruppenalgebren. <em>Mathematische Annalen</em>. 1977;227(1):51-59.
Springer Science and Business Media LLC
1977
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749417
https://pub.uni-bielefeld.de/record/1774941
https://pub.uni-bielefeld.de/download/1774941/2311685
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01360962
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/altIdentifier/issn/1432-1807
info:eu-repo/semantics/altIdentifier/wos/A1977DA69900003
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774943
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Einfache Moduln über gewissen Banachschen Algebren: ein Imprimitivitätssatz
Poguntke, Detlev
ddc:510
Poguntke D. Einfache Moduln über gewissen Banachschen Algebren: ein Imprimitivitätssatz. <em>Mathematische Annalen</em>. 1982;259(2):245-258.
Springer Science and Business Media LLC
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749430
https://pub.uni-bielefeld.de/record/1774943
https://pub.uni-bielefeld.de/download/1774943/2311686
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01457311
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/altIdentifier/issn/1432-1807
info:eu-repo/semantics/altIdentifier/wos/A1982NN53800005
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774945
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Operators of finite rank in unitary representations of exponential Lie groups
Poguntke, Detlev
ddc:510
Poguntke D. Operators of finite rank in unitary representations of exponential Lie groups. <em>Mathematische Annalen</em>. 1982;259(3):371-383.
Springer Science and Business Media LLC
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749451
https://pub.uni-bielefeld.de/record/1774945
https://pub.uni-bielefeld.de/download/1774945/2311687
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01456949
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/altIdentifier/issn/1432-1807
info:eu-repo/semantics/altIdentifier/wos/A1982NT16600008
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774947
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Invariant cones in solvable Lie algebras
Poguntke, Detlev
ddc:510
Poguntke D. Invariant cones in solvable Lie algebras. <em>Mathematische Zeitschrift</em>. 1992;210(1):661-674.
Springer Science and Business Media LLC
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749477
https://pub.uni-bielefeld.de/record/1774947
https://pub.uni-bielefeld.de/download/1774947/2311688
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF02571822
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1992JJ69100012
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774949
2018-07-24T12:59:33Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Über das Synthese-Problem für nilpotente Liesche Gruppen
Poguntke, Detlev
ddc:510
Poguntke D. Über das Synthese-Problem für nilpotente Liesche Gruppen. <em>Mathematische Annalen</em>. 1984;269(4):431-467.
Springer Science and Business Media LLC
1984
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749498
https://pub.uni-bielefeld.de/record/1774949
https://pub.uni-bielefeld.de/download/1774949/2311689
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01450760
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/altIdentifier/issn/1432-1807
info:eu-repo/semantics/altIdentifier/wos/A1984AHJ2300001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774960
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
A generalization of the AZ identity
Ahlswede, Rudolf
Cai, Ning
ddc:510
Ahlswede R, Cai N. A generalization of the AZ identity. <em>Combinatorica</em>. 1993;13(3):241-247.
The identity discovered in [1] can be viewed as a sharpening of the LYM inequality ([3], [4], [5]). It was extended in [2] so that it covers also Bollobás' inequality [6]. Here we present a further generalization and demonstrate that it shares with its predecessors the usefullness for uniqueness proofs in extremal set theory.
Springer Science and Business Media LLC
1993
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749607
https://pub.uni-bielefeld.de/record/1774960
https://pub.uni-bielefeld.de/download/1774960/2311694
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01202350
info:eu-repo/semantics/altIdentifier/issn/0209-9683
info:eu-repo/semantics/altIdentifier/issn/1439-6912
info:eu-repo/semantics/altIdentifier/wos/A1993LZ61100001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774963
2018-07-24T12:59:33Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Rank formulas for certain products of matrices
Ahlswede, Rudolf
Cai, Ning
Missing dimension
Quasi outer product
Exponential rank quasi direct sum
Communication complexity
Sum-type functions
ddc:510
Ahlswede R, Cai N. Rank formulas for certain products of matrices. <em>Applicable Algebra in Engineering, Communication and Computing</em>. 1993;4(4):253-261.
For two matrix operations, called quasi-direct sum and quasi-outer product, we determine their deviations from multiplicative behaviour of the rank. The second operation arises in the determination of the function table for so-called sum-type functions such as the Hamming distance. A consequence of the corresponding rank formula is, that the frequently used log rank can be a very poor bound for two-way communication complexity. Instead, as was shown in [9], a certainexponential rank gives often excellent or even optimal bounds.
Springer Science and Business Media LLC
1993
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749632
https://pub.uni-bielefeld.de/record/1774963
https://pub.uni-bielefeld.de/download/1774963/2311695
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01200149
info:eu-repo/semantics/altIdentifier/issn/0938-1279
info:eu-repo/semantics/altIdentifier/issn/1432-0622
info:eu-repo/semantics/altIdentifier/wos/A1993LU93200004
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774967
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
On extremal sets without coprimes
Ahlswede, Rudolf
Khachatrian, Levon H.
ddc:510
Ahlswede R, Khachatrian LH. On extremal sets without coprimes. <em>Acta Arithmetica</em>. 1994;66(1):89-90.
Institute of Mathematics, Polish Academy of Sciences
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-6481
https://pub.uni-bielefeld.de/record/1774967
https://pub.uni-bielefeld.de/download/1774967/2311697
eng
info:eu-repo/semantics/altIdentifier/doi/10.4064/aa-66-1-89-99
info:eu-repo/semantics/altIdentifier/issn/0065-1036
info:eu-repo/semantics/altIdentifier/wos/A1994ND96500007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774970
2019-07-12T13:34:44Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Monotonie und Randspektrum bei vollstetigen Operatoren
Elsner, Ludwig
ddc:510
Elsner L. Monotonie und Randspektrum bei vollstetigen Operatoren. <em>Archive for Rational Mechanics and Analysis</em>. 1970;36(5):356-365.
Es sei A ein vollstetiger linearer Operator eines Banachraums in sich. Es wird gezeigt, daß sich die Eigenschaft ldquores gibt eine Halbordnung mit totalem Ordnungskegel, bezüglich der A monoton ist rdquo durch Aussagen allein über diejenigen Eigenwerte von A, deren Betrag gleich dem Spektralradius ist, charakterisieren läßt. Ähnliche Äquivalenzaussagen gelten für irreduzible und streng-monotone Operatoren.
Springer Science and Business Media LLC
1970
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749700
https://pub.uni-bielefeld.de/record/1774970
https://pub.uni-bielefeld.de/download/1774970/2311699
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00282272
info:eu-repo/semantics/altIdentifier/issn/0003-9527
info:eu-repo/semantics/altIdentifier/issn/1432-0673
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774972
2019-07-12T13:36:04Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler Matrizen
Elsner, Ludwig
ddc:510
Elsner L. Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler Matrizen. <em>Computing</em>. 1971;8(1-2):32-39.
Es werden mehrere Iterationsverfahren zur Bestimmung des Spektralradius [rho] einer nichtnegativen Matrix A angegeben. Ihre Konvergenz wird unter der Voraussetzung bewiesen, daß A irreduzibel ist. Die Verfahren sind, im Gegensatz zur Potenzmethode, unempfindlich gegen das Vorhandensein mehrerer Eigenwerte vom Betrage [rho].
Springer Science and Business Media LLC
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749722
https://pub.uni-bielefeld.de/record/1774972
https://pub.uni-bielefeld.de/download/1774972/2311700
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF02234041
info:eu-repo/semantics/altIdentifier/issn/0010-485X
info:eu-repo/semantics/altIdentifier/issn/1436-5057
info:eu-repo/semantics/altIdentifier/wos/A1971L458300004
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774974
2019-07-12T13:37:19Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler Matrizen II
Elsner, Ludwig
ddc:510
Elsner L. Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler Matrizen II. <em>Computing</em>. 1972;9(1):69-73.
In Ergänzung einer früheren gleichlautenden Arbeit werden weitere iterative Verfahren zur Berechnung des Spektralradius und des zugehörigen positiven Eigenvektors einer nichtnegativen irreduziblen Matrix angegeben und die Konvergenz bewiesen. Dabei streben die kleinsten Quotienten der Näherungsvektoren monoton gegen den Spektralradius. Es werden Einschließungsaussagen für den positiven Eigenvektor y bewiesen und daraus die Konvergenz der Näherungen, gegen y hergeleitet.
Springer Science and Business Media LLC
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749741
https://pub.uni-bielefeld.de/record/1774974
https://pub.uni-bielefeld.de/download/1774974/2311701
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF02236379
info:eu-repo/semantics/altIdentifier/issn/0010-485X
info:eu-repo/semantics/altIdentifier/issn/1436-5057
info:eu-repo/semantics/altIdentifier/wos/A1972M753100009
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774976
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector
Elsner, Ludwig
Johnson, Charles R.
Neumann, Michael M.
ddc:510
Elsner L, Johnson CR, Neumann MM. On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector. <em>Czechoslovak Mathematical Journal</em>. 1982;32(1):99-109.
Springer-Verlag
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-6552
https://pub.uni-bielefeld.de/record/1774976
https://pub.uni-bielefeld.de/download/1774976/2311702
eng
info:eu-repo/semantics/altIdentifier/wos/A1982NS94800005
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774983
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Perturbation theorems for the matrix eigenvalue problem
Elsner, Ludwig
ddc:510
Elsner L. Perturbation theorems for the matrix eigenvalue problem. <em>Portugaliae Mathematica</em>. 1986;43(1):69-76.
EMS Publ. House
1986
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-6579
https://pub.uni-bielefeld.de/record/1774983
https://pub.uni-bielefeld.de/download/1774983/2311704
eng
info:eu-repo/semantics/altIdentifier/issn/0032-5155
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774989
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Convergence of infinite products of matrices and inner-outer iteration schemes
Elsner, Ludwig
Bru, Rafael
Neumann, Michael M.
contractions
infinite products
iterative methods
ddc:510
Elsner L, Bru R, Neumann MM. Convergence of infinite products of matrices and inner-outer iteration schemes. <em>Electronic Transactions on Numerical Analysis</em>. 1994;2:183-193.
Kent State University
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-6616
https://pub.uni-bielefeld.de/record/1774989
https://pub.uni-bielefeld.de/download/1774989/2311708
eng
info:eu-repo/semantics/altIdentifier/issn/1068-9613
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1774992
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Minimizing the condition number of a positive definite matrix by completion
Elsner, Ludwig
He, Chunyang
Mehrmann, Volker
ddc:510
Elsner L, He C, Mehrmann V. Minimizing the condition number of a positive definite matrix by completion. <em>Numerische Mathematik</em>. 1994;69(1):17-23.
We consider the problem of minimizing the spectral condition number of a positive definite matrix by completion: [GRAPHICS] where A is an n x n Hermitian positive definite matrix, B a p x n matrix and X is a free p x p Hermitian matrix. We reduce this problem to an optimization problem for a convex function in one variable. Using the minimal solution of this problem we characterize the complete set of matrices that give the minimum condition number.
Springer Science and Business Media LLC
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17749921
https://pub.uni-bielefeld.de/record/1774992
https://pub.uni-bielefeld.de/download/1774992/2311709
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/s002110050077
info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/wos/A1994PY43200002
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775028
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The theorem of Lie and hyperplane subalgebras of Lie algebras
Poguntke, Detlev
ddc:510
Poguntke D. The theorem of Lie and hyperplane subalgebras of Lie algebras. <em>Geometriae Dedicata</em>. 1992;43(1):83-91.
Springer Science and Business Media LLC
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750281
https://pub.uni-bielefeld.de/record/1775028
https://pub.uni-bielefeld.de/download/1775028/2311735
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00181299
info:eu-repo/semantics/altIdentifier/issn/0046-5755
info:eu-repo/semantics/altIdentifier/issn/1572-9168
info:eu-repo/semantics/altIdentifier/wos/A1992JC13700007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775040
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
An example of a generalized completely continuous representation of a locally compact group
Poguntke, Detlev
ddc:510
Poguntke D. An example of a generalized completely continuous representation of a locally compact group. <em>Studia Mathematica</em>. 1993;105(2):189-205.
There is constructed a compactly generated, separable, locally compact group G and a continuous irreducible unitary representation pi of G such that the image pi(C*(G)) of the group C*-algebra contains the algebra of compact operators, while the image pi(L1(G)) of the L1-group algebra does not contain any nonzero compact operator. The group G is a semidirect product of a metabelian discrete group and a ''generalized Heisenberg group''.
Institute of Mathematics, Polish Academy of Sciences
1993
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7001
https://pub.uni-bielefeld.de/record/1775040
https://pub.uni-bielefeld.de/download/1775040/2311746
eng
info:eu-repo/semantics/altIdentifier/doi/10.4064/sm-105-2-189-205
info:eu-repo/semantics/altIdentifier/issn/1730-6337
info:eu-repo/semantics/altIdentifier/wos/A1993LR43800008
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775045
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Rigidly symmetric L1-algebras
Poguntke, Detlev
ddc:510
Poguntke D. Rigidly symmetric L1-algebras. <em>Seminar Sophus Lie</em>. 1992;2(2):189-197.
ELibM
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7056
https://pub.uni-bielefeld.de/record/1775045
https://pub.uni-bielefeld.de/download/1775045/2311751
eng
info:eu-repo/semantics/altIdentifier/issn/0940-2268
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775046
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Cocycles on abelian groups and primitive ideals in group C*-algebras of two-step nilpotent groups and connected Lie groups
Lüdeking, Armin
Poguntke, Detlev
ddc:510
Lüdeking A, Poguntke D. Cocycles on abelian groups and primitive ideals in group C*-algebras of two-step nilpotent groups and connected Lie groups. <em>Journal of Lie Theory</em>. 1994;4(1):39-103.
HELDERMANN VERLAG
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7063
https://pub.uni-bielefeld.de/record/1775046
https://pub.uni-bielefeld.de/download/1775046/2311752
eng
info:eu-repo/semantics/altIdentifier/issn/0949-5932
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775049
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Einige Eigenschaften des Darstellungsringes kompakter Gruppen
Poguntke, Detlev
ddc:510
Poguntke D. Einige Eigenschaften des Darstellungsringes kompakter Gruppen. <em>Mathematische Zeitschrift</em>. 1973;130(2):107-117.
Springer Science and Business Media LLC
1973
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750493
https://pub.uni-bielefeld.de/record/1775049
https://pub.uni-bielefeld.de/download/1775049/2311754
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01214254
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1973P000300001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775051
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen
Poguntke, Detlev
ddc:510
Poguntke D. Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen. <em>Monatshefte für Mathematik</em>. 1976;81(1):15-40.
In this paper we study the class [A] of all locally compact groups G with the property that for each closed subgroup H of G there exists a pair of homomorphisms into a compact group with H as coincidence set, and the class [D] of all locally compact group G with the property that finite dimensional unitary representations of subgroups of G can be extended to finite dimensional representations of G. It is shown that [MOORE]-groups (every irreducible unitary representation is finite dimensional) have these two properties. A solvable group in [D] is a [MOORE]-group. Moreover, we prove a structure theorem for Lie groups in the class [MOORE], and show that compactly generated Lie groups in [MOORE] have faithful finite dimensional unitary representations.
Springer Science and Business Media LLC
1976
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750512
https://pub.uni-bielefeld.de/record/1775051
https://pub.uni-bielefeld.de/download/1775051/2311755
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01473612
info:eu-repo/semantics/altIdentifier/issn/0026-9255
info:eu-repo/semantics/altIdentifier/issn/1436-5081
info:eu-repo/semantics/altIdentifier/wos/A1976BN38300003
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775055
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen
Poguntke, Detlev
ddc:510
Poguntke D. Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen. <em>Monatshefte für Mathematik</em>. 1976;82(1):31-50.
Springer Science and Business Media LLC
1976
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750556
https://pub.uni-bielefeld.de/record/1775055
https://pub.uni-bielefeld.de/download/1775055/2311758
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01304377
info:eu-repo/semantics/altIdentifier/issn/0026-9255
info:eu-repo/semantics/altIdentifier/issn/1436-5081
info:eu-repo/semantics/altIdentifier/wos/A1976CE56500004
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775061
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Der Raum der primitiven Ideale von endlichen Erweiterungen lokalkompakter Gruppen
Poguntke, Detlev
ddc:510
Poguntke D. Der Raum der primitiven Ideale von endlichen Erweiterungen lokalkompakter Gruppen. <em>Archiv der Mathematik</em>. 1977;28(1):133-138.
Springer Science and Business Media LLC
1977
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750613
https://pub.uni-bielefeld.de/record/1775061
https://pub.uni-bielefeld.de/download/1775061/2311763
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01223902
info:eu-repo/semantics/altIdentifier/issn/0003-889X
info:eu-repo/semantics/altIdentifier/issn/1420-8938
info:eu-repo/semantics/altIdentifier/wos/A1977DE45100004
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775063
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Well-bounded semigroups in connected groups
Poguntke, Detlev
ddc:510
Poguntke D. Well-bounded semigroups in connected groups. <em>Semigroup Forum</em>. 1977;15(1):159-167.
Springer Science and Business Media LLC
1977
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750638
https://pub.uni-bielefeld.de/record/1775063
https://pub.uni-bielefeld.de/download/1775063/2311764
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF02195746
info:eu-repo/semantics/altIdentifier/issn/0037-1912
info:eu-repo/semantics/altIdentifier/issn/1432-2137
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775067
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Discrete nilpotent groups have a T1 primitive ideal space
Poguntke, Detlev
ddc:510
Poguntke D. Discrete nilpotent groups have a T1 primitive ideal space. <em>Studia Mathematica</em>. 1982;71(3):271-275.
Institute of Mathematics, Polish Academy of Sciences
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7259
https://pub.uni-bielefeld.de/record/1775067
https://pub.uni-bielefeld.de/download/1775067/2311767
eng
info:eu-repo/semantics/altIdentifier/doi/10.4064/sm-71-3-271-275
info:eu-repo/semantics/altIdentifier/issn/0039-3223
info:eu-repo/semantics/altIdentifier/wos/A1982PH97600004
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775069
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Gewisse Segalsche Algebren auf lokalkompakten Gruppen
Poguntke, Detlev
ddc:510
Poguntke D. Gewisse Segalsche Algebren auf lokalkompakten Gruppen. <em>Archiv der Mathematik</em>. 1979;33(1):454-460.
Springer Science and Business Media LLC
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750697
https://pub.uni-bielefeld.de/record/1775069
https://pub.uni-bielefeld.de/download/1775069/2311769
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01222784
info:eu-repo/semantics/altIdentifier/issn/0003-889X
info:eu-repo/semantics/altIdentifier/issn/1420-8938
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775073
2020-11-10T13:01:07Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
K. H. Hofmann's article “A memo on the exponential function and regular points”
Poguntke, Detlev
ddc:510
Poguntke D. K. H. Hofmann's article “A memo on the exponential function and regular points”. <em>Archiv der Mathematik</em>. 1992;59(1):38-41.
Springer Science and Business Media LLC
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750738
https://pub.uni-bielefeld.de/record/1775073
https://pub.uni-bielefeld.de/download/1775073/2311772
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01199012
info:eu-repo/semantics/altIdentifier/issn/0003-889X
info:eu-repo/semantics/altIdentifier/issn/1420-8938
info:eu-repo/semantics/altIdentifier/wos/A1992JG48800006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775089
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Approximation o continuous functions in p-Adic Analysis
Ahlswede, Rudolf
Bojanic, R.
ddc:510
Ahlswede R, Bojanic R. Approximation o continuous functions in p-Adic Analysis. <em>Journal of Approximation Theory</em>. 1975;15(3):190-205.
Elsevier BV
1975
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750891
https://pub.uni-bielefeld.de/record/1775089
https://pub.uni-bielefeld.de/download/1775089/2311783
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-9045(75)90101-X
info:eu-repo/semantics/altIdentifier/issn/0021-9045
info:eu-repo/semantics/altIdentifier/wos/A1975BA62100003
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775092
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Contributions to the geometry of hamming spaces
Ahlswede, Rudolf
Katona, G. O. H.
ddc:510
Ahlswede R, Katona GOH. Contributions to the geometry of hamming spaces. <em>Discrete Mathematics</em>. 1977;17(1):1-22.
Elsevier BV
1977
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750926
https://pub.uni-bielefeld.de/record/1775092
https://pub.uni-bielefeld.de/download/1775092/2311784
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0012-365X(77)90017-6
info:eu-repo/semantics/altIdentifier/issn/0012-365X
info:eu-repo/semantics/altIdentifier/wos/A1977DC98800001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775096
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
A two-family extremal problem in hamming space
Ahlswede, Rudolf
El Gamal, Abbas
Pang, King F.
ddc:510
Ahlswede R, El Gamal A, Pang KF. A two-family extremal problem in hamming space. <em>Discrete Mathematics</em>. 1984;49(1):1-5.
Elsevier BV
1984
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17750965
https://pub.uni-bielefeld.de/record/1775096
https://pub.uni-bielefeld.de/download/1775096/2311785
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0012-365X(84)90144-4
info:eu-repo/semantics/altIdentifier/issn/0012-365X
info:eu-repo/semantics/altIdentifier/wos/A1984SN85800001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775100
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Note on an extremal problem arising for unreliable networks in parallel computing
Ahlswede, Rudolf
Koschnick, K. U.
ddc:510
Ahlswede R, Koschnick KU. Note on an extremal problem arising for unreliable networks in parallel computing. <em>Discrete Mathematics</em>. 1983;47:137-152.
Motivated by a certain model of parallel computing in unreliable networks we study combinatorial problems of the following type: For any graph and any integer c, what is the least number d such that removal of any d edges (or vertices) leaves a graph with a largest connected component of more than c vertices. We give rather precise estimates for the n-cube.
Elsevier BV
1983
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17751003
https://pub.uni-bielefeld.de/record/1775100
https://pub.uni-bielefeld.de/download/1775100/2311786
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0012-365X(83)90084-5
info:eu-repo/semantics/altIdentifier/issn/0012-365X
info:eu-repo/semantics/altIdentifier/wos/A1983RX05400001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775111
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Inequalities for code pairs
Ahlswede, Rudolf
Mörs, Michael
ddc:510
Ahlswede R, Mörs M. Inequalities for code pairs. <em>European Journal of Combinatorics</em>. 1988;9(2):175-181.
Elsevier BV
1988
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7501
https://pub.uni-bielefeld.de/record/1775111
https://pub.uni-bielefeld.de/download/1775111/2311791
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0195-6698(88)80044-1
info:eu-repo/semantics/altIdentifier/issn/0195-6698
info:eu-repo/semantics/altIdentifier/wos/A1988N469500012
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775113
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Contributions to a theory of ordering for sequence spaces
Ahlswede, Rudolf
Zhang, Zhen
ddc:510
Ahlswede R, Zhang Z. Contributions to a theory of ordering for sequence spaces. <em>Problems of Control and Information Theory</em>. 1989;18(4):197-221.
Pergamon-elsevier Science Ltd
1989
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7516
https://pub.uni-bielefeld.de/record/1775113
https://pub.uni-bielefeld.de/download/1775113/2311792
eng
info:eu-repo/semantics/altIdentifier/issn/0370-2529
info:eu-repo/semantics/altIdentifier/wos/A1989AX89300001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775115
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Coding for write-efficient memory
Ahlswede, Rudolf
Zhang, Zhen
ddc:510
Ahlswede R, Zhang Z. Coding for write-efficient memory. <em>Information and Computation</em>. 1989;83(1):80-97.
Elsevier BV
1989
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7527
https://pub.uni-bielefeld.de/record/1775115
https://pub.uni-bielefeld.de/download/1775115/2311793
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0890-5401(89)90048-5
info:eu-repo/semantics/altIdentifier/issn/0890-5401
info:eu-repo/semantics/altIdentifier/wos/A1989AW41000005
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775117
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Creating order in sequence spaces with simple machines
Ahlswede, Rudolf
Ye, Jian-Ping
Zhang, Zhen
ddc:510
Ahlswede R, Ye J-P, Zhang Z. Creating order in sequence spaces with simple machines. <em>Information and Computation</em>. 1990;89(1):47-94.
Elsevier BV
1990
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7538
https://pub.uni-bielefeld.de/record/1775117
https://pub.uni-bielefeld.de/download/1775117/2311794
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0890-5401(90)90020-I
info:eu-repo/semantics/altIdentifier/issn/0890-5401
info:eu-repo/semantics/altIdentifier/wos/A1990EF79500003
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775120
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
On cloud-antichains and related configurations
Ahlswede, Rudolf
Zhang, Zhen
ddc:510
Ahlswede R, Zhang Z. On cloud-antichains and related configurations. <em>Discrete Mathematics</em>. 1990;85(3):225-245.
We introduce the concept of a cloud-antichain, which is a natural generalization of antichains in partially ordered sets, and solve some seemingly basic extrenal problems for them. Following the discovery of our identity (in[1]) we found the ‘missing term’, which converts Bollobás' inequality into an identity. It immediately yields the uniqueness in the Sperner Theorem for unrelated chains of subsets, which are an example of a cloud-antichain.
Elsevier BV
1990
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17751207
https://pub.uni-bielefeld.de/record/1775120
https://pub.uni-bielefeld.de/download/1775120/2311795
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0012-365X(90)90381-Q
info:eu-repo/semantics/altIdentifier/issn/0012-365X
info:eu-repo/semantics/altIdentifier/wos/A1990EP51400001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775145
2018-07-24T12:58:03Z
book_chapter
doc-type:bookPart
ddc:510
book_chapterFtxt
open_access
The structure of capacity functions for compound channels
Ahlswede, Rudolf
Wolfowitz, J.
Behara, M.
ddc:510
Ahlswede R, Wolfowitz J. The structure of capacity functions for compound channels. In: Behara M, ed. <em>Probability and information theory</em>. Lecture notes in mathematics ; 89,1. Vol vol. 1: Proceedings of the international symposium at McMaster University, Canada, April 1968. Berlin: Springer; 1969: 12-54.
Springer
1969
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7801
https://pub.uni-bielefeld.de/record/1775145
https://pub.uni-bielefeld.de/download/1775145/2311810
eng
info:eu-repo/semantics/altIdentifier/isbn/3-540-04608-9
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775172
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Teilbarkeitsuntersuchungen und der Euklidische Algorithmus
Padberg, Friedhelm
ddc:510
Padberg F. Teilbarkeitsuntersuchungen und der Euklidische Algorithmus. <em>Archimedes: Anregungen u. Aufgaben für Lehrer, Schüler u. Freunde d. Mathematik</em>. 1972;24(4):125-128.
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7967
https://pub.uni-bielefeld.de/record/1775172
https://pub.uni-bielefeld.de/download/1775172/2311826
deu
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775173
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Über die Einsatzmöglichkeiten von Restklassenkörpern im Bereich der Gleichungslehre, bei Körpererweiterungen der Geometrie
Padberg, Friedhelm
ddc:510
Padberg F. Über die Einsatzmöglichkeiten von Restklassenkörpern im Bereich der Gleichungslehre, bei Körpererweiterungen der Geometrie. <em>Der mathematische und naturwissenschaftliche Unterricht</em>. 1978;31(1):22-27.
Verlag Klaus Seeberger
1978
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7970
https://pub.uni-bielefeld.de/record/1775173
https://pub.uni-bielefeld.de/download/1775173/2311827
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info:eu-repo/semantics/altIdentifier/issn/0025-5866
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oai:pub.uni-bielefeld.de:1775174
2018-07-24T12:59:17Z
journal_article
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Über Assoziativität und Kommutativität bei Gruppoiden
Padberg, Friedhelm
ddc:510
Padberg F. Über Assoziativität und Kommutativität bei Gruppoiden. <em>Der mathematische und naturwissenschaftliche Unterricht</em>. 1973;26(3):174-176.
Verlag Klaus Seeberger
1973
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7986
https://pub.uni-bielefeld.de/record/1775174
https://pub.uni-bielefeld.de/download/1775174/2311828
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info:eu-repo/semantics/altIdentifier/issn/0025-5866
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oai:pub.uni-bielefeld.de:1775175
2018-07-24T12:59:35Z
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Ein Weg zur Einführung des Gruppenbegriffs im Unterricht
Padberg, Friedhelm
ddc:510
Padberg F. Ein Weg zur Einführung des Gruppenbegriffs im Unterricht. <em>Archimedes: Anregungen u. Aufgaben für Lehrer, Schüler u. Freunde d. Mathematik</em>. 1972;24(2):62-74.
1972
http://purl.org/coar/resource_type/c_6501
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doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-7992
https://pub.uni-bielefeld.de/record/1775175
https://pub.uni-bielefeld.de/download/1775175/2311829
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oai:pub.uni-bielefeld.de:1775176
2018-07-24T12:58:03Z
journal_article
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Dezimalbrüche - problemlos und leicht?
Padberg, Friedhelm
Mathematikunterricht
Sekundarstufe I
Dezimalbruch
ddc:510
Padberg F. Dezimalbrüche - problemlos und leicht? <em>Der mathematische und naturwissenschaftliche Unterricht</em>. 1989;42(7):387-395.
Klagen über den Unterrichtserfolg bei der Behandlung gemeiner Brüche sind weit verbreitet, Klagen über den Unterrichtserfolg bei Dezimalbrüchen dagegen selten. Die folgende empirische Untersuchung an Gymnasialschülern des siebten Schuljahres liefert Antworten auf die Frage, ob die Behandlung von Dezimalbrüchen problemlos und leicht ist, und gibt Hinweise auf typische Fehlvorstellungen und Fehlerstrategien.
Verlag Klaus Seeberger
1989
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8000
https://pub.uni-bielefeld.de/record/1775176
https://pub.uni-bielefeld.de/download/1775176/2311830
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info:eu-repo/semantics/altIdentifier/issn/0025-5866
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https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775177
2018-07-24T12:59:00Z
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Dezimalbrüche - problemlos und leicht?
Padberg, Friedhelm
Mathematikunterricht
Sekundarstufe I
Dezimalbruch
ddc:510
Padberg F. Dezimalbrüche - problemlos und leicht? In: <em>Beiträge zum Mathematikunterricht: Vorträge auf der 23. Bundestagung für Didaktik der Mathematik vom 28.2. bis 3.3.1989 in Berlin</em>. Bad Salzdetfurth: Franzbecker; 1989: 278-281.
Franzbecker
1989
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8015
https://pub.uni-bielefeld.de/record/1775177
https://pub.uni-bielefeld.de/download/1775177/2311831
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info:eu-repo/semantics/altIdentifier/isbn/3-88120-194-7
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775178
2018-07-24T12:58:27Z
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Teilergraphen und Teilbarkeitsuntersuchungen
Padberg, Friedhelm
ddc:510
Padberg F. Teilergraphen und Teilbarkeitsuntersuchungen. In: <em>Beiträge zum Mathematikunterricht: Vorträge auf der 6. Bundestagung für Didaktik der Mathematik vom 11. bis 14. April 1972 in Kiel</em>. Vol vol. 1. Bad Salzdetfurth: Franzbecker; 1972: 163-169.
Franzbecker
1972
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
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text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8024
https://pub.uni-bielefeld.de/record/1775178
https://pub.uni-bielefeld.de/download/1775178/2311832
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oai:pub.uni-bielefeld.de:1775179
2018-07-24T12:59:17Z
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Über Schülerfehler im Bereich der Bruchrechnung
Padberg, Friedhelm
Mathematikunterricht
Bruchrechnung
Sekundarstufe I
ddc:510
Padberg F. Über Schülerfehler im Bereich der Bruchrechnung. In: <em>Beiträge zum Mathematikunterricht: Vorträge auf der 16. Bundestagung für Didaktik der Mathematik vom 2.3. bis 5.3.1982 in Klagenfurt</em>. Bad Salzdetfurth: Franzbecker; 1982: 86.
Franzbecker
1982
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8038
https://pub.uni-bielefeld.de/record/1775179
https://pub.uni-bielefeld.de/download/1775179/2311833
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info:eu-repo/semantics/altIdentifier/isbn/3-507-35018-1
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775180
2018-07-24T12:58:27Z
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Teilergraphen
Padberg, Friedhelm
Mathematikunterricht
Sekundarstufe I
Teilergraphen
ddc:510
Padberg F. Teilergraphen. <em>Praxis der Mathematik</em>. 1971;13(11):294-296.
Aulis-Verl. Deubner
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8044
https://pub.uni-bielefeld.de/record/1775180
https://pub.uni-bielefeld.de/download/1775180/2311834
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info:eu-repo/semantics/altIdentifier/issn/0032-7042
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oai:pub.uni-bielefeld.de:1775181
2018-07-24T12:59:17Z
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Teilbarkeitsregeln in b-adischen Stellenwertsystemen und die Kongruenzrelation: ein Weg zur Behandlung von Teilbarkeitsregeln in b-adischen Stellenwertsystemen im Unterricht
Padberg, Friedhelm
Mathematikunterricht
ddc:510
Padberg F. Teilbarkeitsregeln in b-adischen Stellenwertsystemen und die Kongruenzrelation: ein Weg zur Behandlung von Teilbarkeitsregeln in b-adischen Stellenwertsystemen im Unterricht. <em>Der mathematische und naturwissenschaftliche Unterricht</em>. 1974;27(2):82-86.
Verlag Klaus Seeberger
1974
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8052
https://pub.uni-bielefeld.de/record/1775181
https://pub.uni-bielefeld.de/download/1775181/2311835
deu
info:eu-repo/semantics/altIdentifier/issn/0025-5866
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775182
2018-07-24T12:59:35Z
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Zur Behandlung von Stellenwertsystemen im Unterricht
Padberg, Friedhelm
Mathematikunterricht
ddc:510
Padberg F. Zur Behandlung von Stellenwertsystemen im Unterricht. <em>Archimedes: Anregungen u. Aufgaben für Lehrer, Schüler u. Freunde d. Mathematik</em>. 1972;24(1):3-16.
1972
http://purl.org/coar/resource_type/c_6501
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https://nbn-resolving.org/urn:nbn:de:0070-bipr-8069
https://pub.uni-bielefeld.de/record/1775182
https://pub.uni-bielefeld.de/download/1775182/2311836
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oai:pub.uni-bielefeld.de:1775183
2018-07-24T12:58:03Z
journal_article
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Wege zur Ableitung der Divisionsregel der Bruchrechnung: Bestandsaufnahme - Beurteilung - Folgerungen
Padberg, Friedhelm
Mathematikunterricht
Bruchrechnung
ddc:510
Padberg F. Wege zur Ableitung der Divisionsregel der Bruchrechnung: Bestandsaufnahme - Beurteilung - Folgerungen. <em>Journal für Mathematik-Didaktik</em>. 1982;3(1):67-88.
The derivation of the rule for the division of fractional numbers is considered one of the most difficult areas in the classroom instructions of grade 5 and 6. Probably caused by this difficulties the results in division of fractional numbers are very low, still lower than the results in addition, subtraction and multiplication which are not impressive. An analysis of errors shows that the high quota of errors in this area is due to incorrect solution strategies of the pupils. So it is necessary to select carefully the method of instruction. On the basis of a survey of the most frequently used methods in the USA, the Federal Republic of Germany, the German Democratic Republic and Austria the author discusses the different ways of meaningfully deriving the division rule and evaluates them critically on the basis of seven criteria in order to find the best ways.
Springer Science + Business Media
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8074
https://pub.uni-bielefeld.de/record/1775183
https://pub.uni-bielefeld.de/download/1775183/2311837
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info:eu-repo/semantics/altIdentifier/issn/0173-5322
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oai:pub.uni-bielefeld.de:1775184
2018-07-24T12:59:00Z
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Zum Einsatz von heuristischen Strategien und Zählstrategien bei der Subtraktion: eine empirische Untersuchung am Ende des ersten Schuljahres
Padberg, Friedhelm
Primarstufe
Mathematikunterricht
Subtraktion
Arithmetik
ddc:510
Padberg F. Zum Einsatz von heuristischen Strategien und Zählstrategien bei der Subtraktion: eine empirische Untersuchung am Ende des ersten Schuljahres. <em>Sachunterricht und Mathematik in der Primarstufe</em>. 1994;22(7):323-328.
Aulis-Verl. Deubner
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8082
https://pub.uni-bielefeld.de/record/1775184
https://pub.uni-bielefeld.de/download/1775184/2311838
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info:eu-repo/semantics/altIdentifier/issn/0170-0944
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775194
2018-07-24T12:59:35Z
journal_article
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Schriftliche Subtraktion - Änderungen erforderlich!
Padberg, Friedhelm
Mathematikunterricht
Subtraktion
ddc:510
Padberg F. Schriftliche Subtraktion - Änderungen erforderlich!. <em>Mathematische Unterrichtspraxis</em>. 1994;15(2):24-34.
In Deutschland ist bei der schriftlichen Subtraktion seit dem Ende der fünfziger Jahre das Ergänzungsverfahren – also die Plus-Sprechweise – vorgeschrieben, als Übertragstechnik ist nur die Erweiterungs- bzw. Auffülltechnik erlaubt. Ein Blick über unsere Grenzen zeigt, dass sonst dagegen das Abziehverfahren – also die Minus-Sprechweise – kombiniert mit der Borgetechnik weltweit am stärksten verbreitet ist. Ein gründlicher Vergleich der verschiedenen Subtraktionsverfahren auf empirischer, unterrichtspraktischer und theoretischer Grundlage soll daher im folgenden aufzeigen, ob und wieweit diese Entscheidung in Deutschland aus den fünfziger Jahren heute im Taschenrechner- und Computerzeitalter noch berechtigt und haltbar ist.
Kallmeyer
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8115
https://pub.uni-bielefeld.de/record/1775194
https://pub.uni-bielefeld.de/download/1775194/2311841
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info:eu-repo/semantics/altIdentifier/issn/0721-8419
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oai:pub.uni-bielefeld.de:1775195
2018-07-24T12:58:03Z
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Subtraktionsstrategien von Erstkläßlern: eine empirische Untersuchung
Padberg, Friedhelm
Padberg, Friedhelm
Subtraktion
Mathematikunterricht
Primarstufe
ddc:510
Padberg F. Subtraktionsstrategien von Erstkläßlern: eine empirische Untersuchung. In: Padberg F, ed. <em>Beiträge zum Lernen und Lehren von Mathematik: Festschrift zur Emeritierung von Martin Glatfeld</em>. Seelze: Kallmeyer; 1994: 149-157.
Kallmeyer
1994
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8127
https://pub.uni-bielefeld.de/record/1775195
https://pub.uni-bielefeld.de/download/1775195/2311842
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info:eu-repo/semantics/altIdentifier/isbn/3-7800-4181-2
info:eu-repo/semantics/openAccess
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oai:pub.uni-bielefeld.de:1775196
2018-07-24T12:59:00Z
journal_article
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Problembereiche bei der Behandlung von Dezimalbrüchen - eine empirische Untersuchung an Gymnasialschülern
Padberg, Friedhelm
Dezimalbruch
Mathematikunterricht
Sekundarstufe I
ddc:510
Padberg F. Problembereiche bei der Behandlung von Dezimalbrüchen - eine empirische Untersuchung an Gymnasialschülern. <em>Der Mathematikunterricht</em>. 1991;37(2):39-69.
Über die Schwierigkeiten von Schülern und Lehrern mit den gemeinen Brüchen hört man häufig Klagen und dies nicht nur bei der systematischen Behandlung in der sechsten Klasse, sondern ebenso auch in höheren Klassen. Durch empirische Untersuchungen kennen wir mittlerweile recht gut die typischen Schülerschwierigkeiten in diesem Bereich. Dagegen hört man nur selten Klagen über Probleme mit den Dezimalbrüchen. Hieraus allerdings zu folgern, dass die Behandlung der Dezimalbrüche – etwa wegen ihrer Nähe zu den vertrauten natürlichen Zahlen – problemlos und leicht ist, ist jedoch völlig verfehlt wie die vorliegende, von der Deutschen Forschungsgemeinschaft (DFG) unterstützte Untersuchung belegt. Im Gegenteil, der Umfang der Schülerschwierigkeiten in diesem Bereich übertrifft in wesentlichen Bereichen deutlich noch die – bekanntlich schon großen – Schwierigkeiten mit den gemeinen Brüchen.
Friedrich
1991
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
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text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8138
https://pub.uni-bielefeld.de/record/1775196
https://pub.uni-bielefeld.de/download/1775196/2311843
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oai:pub.uni-bielefeld.de:1775197
2018-07-24T12:58:27Z
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Problembereiche bei den schriftlichen Rechenverfahren: typische Schülerfehler - mögliche Ursachen - Gegenmaßnahmen
Padberg, Friedhelm
ddc:510
Padberg F. Problembereiche bei den schriftlichen Rechenverfahren: typische Schülerfehler - mögliche Ursachen - Gegenmaßnahmen. <em>Sachunterricht und Mathematik in der Primarstufe</em>. 1987;15(6):267-277.
Aulis-Verl. Deubner
1987
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8142
https://pub.uni-bielefeld.de/record/1775197
https://pub.uni-bielefeld.de/download/1775197/2311844
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info:eu-repo/semantics/altIdentifier/issn/0170-0944
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oai:pub.uni-bielefeld.de:1775206
2018-07-24T12:59:17Z
journal_article
doc-type:article
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Über typische Schülerfehler bei der schriftlichen Multiplikation natürlicher Zahlen
Stiewe, Susanne
Padberg, Friedhelm
Mathematikunterricht
Primarstufe
Multiplikation
ddc:510
Stiewe S, Padberg F. Über typische Schülerfehler bei der schriftlichen Multiplikation natürlicher Zahlen. <em>Der Mathematikunterricht</em>. 1986;32(3):18-28.
Wie schon im Beitrag von Kühnhold/Padberg zur schriftlichen Subtraktion bildet auch hier unsere im Frühjahr 1983 in 30 Klassen des 4. Schuljahres an 16 verschiedenen Grundschulen im Raum Bielefeld durchgeführte Unersuchung über Schülerleistungen und typische Fehler bei der schriftlichen Multiplikation – neben einer im Untersuchungsablauf vorgeschalteten gründlichen Auswertung entsprechender deutschsprachiger und angloamerikanischer Publikationen –die entscheidende Grundlage dieser Arbeit. In allen untersuchten Klassen wurde hierbei einheitlich ein und dasselbe nicht nur in Nordrhein-Westfalen weitverbreitete Schulbuch benutzt. Die genaue methodische Vorgehensweise der betreffenden Lehrer stellten wir durch eine sehr ausführliche standardisierte Befragung fest. Entsprechend schildern wir im folgenden nach einleitenden Bemerkungen zum schriftlichen Multiplikationsverfahren und nach einer knappen Darstellung der Ergebnisse einiger wichtiger Studien zur schriftlichen Multiplikation im Hauptteil dieser Arbeit die in unserer Untersuchung gefundenen Ergebnisse und ziehen hieraus einige Schlussfolgerungen.
Friedrich
1986
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8179
https://pub.uni-bielefeld.de/record/1775206
https://pub.uni-bielefeld.de/download/1775206/2311847
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oai:pub.uni-bielefeld.de:1775208
2018-07-24T12:58:03Z
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Über typische Schülerfehler bei der schriftlichen Division natürlicher Zahlen
Bathelt, Inge
Post, Susanne
Padberg, Friedhelm
Division
Mathematikunterricht
Primarstufe
ddc:510
Bathelt I, Post S, Padberg F. Über typische Schülerfehler bei der schriftlichen Division natürlicher Zahlen. <em>Der Mathematikunterricht</em>. 1986;32(3):29-44.
Entsprechend den vorangegangenen Beiträgen zu Schülerfehlern bei der schriftlichen Subtraktion und Multiplikation basiert auch diese Arbeit auf einem umfangreichen Literaturstudium, insbesondere aber auf der Auswertung der von uns im Juni 1984 durchgeführten Untersuchungen zu Fehlern bei der schriftlichen Division. Hierbei ist zu unterscheiden zwischen einem Test, der vorwiegend Aufgaben mit einstelligem Divisor beinhaltete (197 Schüler aus 11 Klassen des 4. Schuljahres aus 6 verschiedenen Grundschulen) und einem weiteren Test, der nur Aufgaben mit zweistelligem Divisor enthielt (296 Schüler aus 11 Klassen des 5. Schuljahres aus 5 verschiedenen Realschulen). Die vorliegende Arbeit beginnen wir mit einigen Bemerkungen zum Komplexitätsgrad des Divisionsalgorithmus. Anschließend erläutern wir Ergebnisse bislang durchgeführter Untersuchungen zu Schülerfehlern bei der schriftlichen Division Im letzten Teil unserer Ausführungen gehen wir auf die Ergebnisse und Schlussfolgerungen aus unseren eigenen Studien ausführlicher ein.
Friedrich
1986
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8186
https://pub.uni-bielefeld.de/record/1775208
https://pub.uni-bielefeld.de/download/1775208/2311848
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oai:pub.uni-bielefeld.de:1775211
2018-07-24T12:59:00Z
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Über typische Schülerschwierigkeiten in der Bruchrechnung - Bestandsaufnahme und Konsequenzen
Padberg, Friedhelm
Mathematikunterricht
Bruchrechnung
ddc:510
Padberg F. Über typische Schülerschwierigkeiten in der Bruchrechnung - Bestandsaufnahme und Konsequenzen. <em>Der Mathematikunterricht</em>. 1986;32(3):58-77.
Friedrich
1986
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8195
https://pub.uni-bielefeld.de/record/1775211
https://pub.uni-bielefeld.de/download/1775211/2311849
deu
info:eu-repo/semantics/altIdentifier/issn/0025-5807
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775212
2018-07-24T12:58:27Z
book_chapter
doc-type:bookPart
ddc:510
book_chapterFtxt
open_access
Über Schülerfehler im Bereich der Bruchrechnung
Padberg, Friedhelm
Vollrath, Hans-Joachim
Mathematikunterricht
Bruchrechnung
ddc:510
Padberg F. Über Schülerfehler im Bereich der Bruchrechnung. In: Vollrath H-J, ed. <em>Zahlbereiche: didaktische Materialien für die Hauptschule</em>. Stuttgart: Klett; 1983: 45-57.
Klett
1983
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8200
https://pub.uni-bielefeld.de/record/1775212
https://pub.uni-bielefeld.de/download/1775212/2311850
deu
info:eu-repo/semantics/altIdentifier/isbn/3-12-928432-X
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775226
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Kreuzworträtsel und Taschenrechner - ein Beispiel
Padberg, Friedhelm
Mathematikunterricht
Taschenrechner
ddc:510
Padberg F. Kreuzworträtsel und Taschenrechner - ein Beispiel. <em>Praxis der Mathematik</em>. 1980;22(6):171-173.
Aulis-Verl. Deubner
1980
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8240
https://pub.uni-bielefeld.de/record/1775226
https://pub.uni-bielefeld.de/download/1775226/2311854
deu
info:eu-repo/semantics/altIdentifier/issn/0032-7042
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775227
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Zum Einsatz des Taschenrechners bei der Entdeckung einfacher Sätze - ein zahlentheoretisches Beispiel
Padberg, Friedhelm
ddc:510
Padberg F. Zum Einsatz des Taschenrechners bei der Entdeckung einfacher Sätze - ein zahlentheoretisches Beispiel. <em>Didaktik der Mathematik</em>. 1980;8(3):183-188.
Deubner
1980
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8255
https://pub.uni-bielefeld.de/record/1775227
https://pub.uni-bielefeld.de/download/1775227/2311855
deu
info:eu-repo/semantics/altIdentifier/issn/0343-5334
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775228
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Prüfziffern - eine praktische Anwendung von Restklassen
Padberg, Friedhelm
Bruns, Friederike
ddc:510
Padberg F, Bruns F. Prüfziffern - eine praktische Anwendung von Restklassen. <em>Praxis der Mathematik</em>. 1979;21(9):257-263.
Aulis-Verl. Deubner
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8260
https://pub.uni-bielefeld.de/record/1775228
https://pub.uni-bielefeld.de/download/1775228/2311856
deu
info:eu-repo/semantics/altIdentifier/issn/0032-7042
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775246
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Zur Behandlung der Teilbarkeitsrelation im Unterricht der Primar- und Orientierungsstufe: eine didaktische Analyse
Padberg, Friedhelm
ddc:510
Padberg F. Zur Behandlung der Teilbarkeitsrelation im Unterricht der Primar- und Orientierungsstufe: eine didaktische Analyse. <em>Sachunterricht und Mathematik in der Primarstufe</em>. 1979;7(1):31-37.
Aulis-Verl. Deubner
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8300
https://pub.uni-bielefeld.de/record/1775246
https://pub.uni-bielefeld.de/download/1775246/2311860
deu
info:eu-repo/semantics/altIdentifier/issn/0170-0944
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775247
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Teilbarkeitsgraphen von Teilermengen
Padberg, Friedhelm
ddc:510
Padberg F. Teilbarkeitsgraphen von Teilermengen. <em>Der Mathematikunterricht</em>. 1973;19(2):16-35.
Friedrich
1973
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8315
https://pub.uni-bielefeld.de/record/1775247
https://pub.uni-bielefeld.de/download/1775247/2311861
deu
info:eu-repo/semantics/altIdentifier/issn/0025-5807
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775248
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Teilbarkeitsregeln und Kongruenzrelation: ein Vorschlag zur Behandlung von Teilbarkeitsregeln im Dezimalsystem der Kongruenzrelation
Padberg, Friedhelm
ddc:510
Padberg F. Teilbarkeitsregeln und Kongruenzrelation: ein Vorschlag zur Behandlung von Teilbarkeitsregeln im Dezimalsystem der Kongruenzrelation. <em>Unterricht heute</em>. 1972;23(9):423-431.
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8324
https://pub.uni-bielefeld.de/record/1775248
https://pub.uni-bielefeld.de/download/1775248/2311862
deu
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775249
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Teilbarkeitsregeln in verschiedenen Stellenwertsystemen
Padberg, Friedhelm
ddc:510
Padberg F. Teilbarkeitsregeln in verschiedenen Stellenwertsystemen. <em>Praxis der Mathematik</em>. 1972;14(6):147-151.
Aulis-Verl. Deubner
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8338
https://pub.uni-bielefeld.de/record/1775249
https://pub.uni-bielefeld.de/download/1775249/2311863
deu
info:eu-repo/semantics/altIdentifier/issn/0032-7042
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775250
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Zum Können im Rechnen mit Dezimalbrüchen (2: Subtraktion, Multiplikation, Division. Schlußfolgerungen
Padberg, Friedhelm
Prüfer, Sabine
ddc:510
Padberg F, Prüfer S. Zum Können im Rechnen mit Dezimalbrüchen (2: Subtraktion, Multiplikation, Division. Schlußfolgerungen. <em>Mathematik in der Schule</em>. 1994;32(7-8):400-408.
Pädagog. Zeitschriftenverl.
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8348
https://pub.uni-bielefeld.de/record/1775250
https://pub.uni-bielefeld.de/download/1775250/2311864
deu
info:eu-repo/semantics/altIdentifier/issn/0465-3750
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775252
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Zum Können im Rechnen mit Dezimalbrüchen (1: ein empirischer Ost-West-Vergleich. Zur Addition
Padberg, Friedhelm
Prüfer, Sabine
ddc:510
Padberg F, Prüfer S. Zum Können im Rechnen mit Dezimalbrüchen (1: ein empirischer Ost-West-Vergleich. Zur Addition. <em>Mathematik in der Schule</em>. 1994;32(6):333-342.
Pädagog. Zeitschriftenverl.
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8352
https://pub.uni-bielefeld.de/record/1775252
https://pub.uni-bielefeld.de/download/1775252/2311865
deu
info:eu-repo/semantics/altIdentifier/issn/0465-3750
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775254
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Über Probleme von Gymnasialschülern mit dem Dezimalbruchbegriff: eine empirische Untersuchung
Padberg, Friedhelm
ddc:510
Padberg F. Über Probleme von Gymnasialschülern mit dem Dezimalbruchbegriff: eine empirische Untersuchung. <em>Mathematica didactica</em>. 1992;15(1):48-61.
Franzbecker
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8366
https://pub.uni-bielefeld.de/record/1775254
https://pub.uni-bielefeld.de/download/1775254/2311866
deu
info:eu-repo/semantics/altIdentifier/issn/0172-8407
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775340
2019-04-30T14:08:54Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Correlated decoding for channels with arbitrarily varying channel probability functions
Ahlswede, Rudolf
Wolfowitz, Jacob
ddc:510
Ahlswede R, Wolfowitz J. Correlated decoding for channels with arbitrarily varying channel probability functions. <em>Information and Control</em>. 1969;14(5):457-473.
Elsevier BV
1969
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17753403
https://pub.uni-bielefeld.de/record/1775340
https://pub.uni-bielefeld.de/download/1775340/2311885
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0019-9958(69)90157-0
info:eu-repo/semantics/altIdentifier/issn/0019-9958
info:eu-repo/semantics/altIdentifier/wos/A1969D462700003
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775343
2019-04-30T14:15:02Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Channels without synchronization
Ahlswede, Rudolf
Wolfowitz, Jacob
ddc:510
Ahlswede R, Wolfowitz J. Channels without synchronization. <em>Advances in applied probability</em>. 1971;3(2):383-403.
Trust
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8595
https://pub.uni-bielefeld.de/record/1775343
https://pub.uni-bielefeld.de/download/1775343/2311886
eng
info:eu-repo/semantics/altIdentifier/issn/0001-8678
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775378
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Bounds on algebraic code capacities for noisy channels. I
Ahlswede, Rudolf
Gemma, J.
ddc:510
Ahlswede R, Gemma J. Bounds on algebraic code capacities for noisy channels. I. <em>Information and Control</em>. 1971;18(2):124-145.
This paper continues the study of algebraic code capacities, which were introduced by Ahlswede (1971). He states an upper bound for the rates of codes which have the property that the code words form a linear space and the decoding procedure is arbitrary. It was asked (problem 5) whether this upper bound is actually the capacity if we deal with average errors. We answer this question in the affirmative for binary discrete memoryless channels. For nonbinary discrete memoryless channels we obtain slightly weaker result: If we allow those codes which have as code words a coset of a group which is a linear space, then the upper bound is again the capacity. An example shows that the result is not true for maximal error. In paragraph 3 we prove that the linear code capacity for compound channels with invariant transition probabilities equals the capacity for compound channels as given by Wolfowitz (1960).
Elsevier BV
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17753788
https://pub.uni-bielefeld.de/record/1775378
https://pub.uni-bielefeld.de/download/1775378/2311893
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0019-9958(71)90775-3
info:eu-repo/semantics/altIdentifier/issn/ARRAY(0x7c6a990)
info:eu-repo/semantics/altIdentifier/wos/A1971K329100004
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775381
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Bounds on algebraic code capacities for noisy channels. II
Ahlswede, Rudolf
Gemma, J.
ddc:510
Ahlswede R, Gemma J. Bounds on algebraic code capacities for noisy channels. II. <em>Information and Control</em>. 1971;19(2):146-158.
It was proved by Ahlswede (1971) that codes whose codewords form a group or even a linear space do not achieve Shannon's capacity for discrete memoryless channels even if the decoding procedure is arbitrary. Sharper results were obtained in Part I of this paper. For practical purposes, one is interested not only in codes which allow a short encoding procedure but also an efficient decoding procedure. Linear codes—the codewords form a linear space and the decoding is done by coset leader decoding — have a fairly efficient decoding procedure. But in order to achieve high rates the following slight generalization turns out to be very useful: We allow the encoder to use a coset of a linear space as a set of codewords. We call these codes shifted linear codes or coset codes. They were implicitly used by Dobrushin (1963). This new code concept has all the advantages of the previous one with respect to encoding and decoding efficiency and enables us to achieve positive rate on discrete memoryless channels whenever Shannon's channel capacity is positive and the length of the alphabet is less or equal to 5 (Theorem 3.1.1). (The result holds very likely also for all alphabets with a length a = ps, p prime, s positive integer). A disadvantage of the concepts of linear codes and of shifted linear codes is that they can be defined only for alphabets whose length is a prime power. In order to overcome this difficulty, we introduce generalized shifted linear codes. With these codes we can achieve a positive rate on arbitrary discrete memoryless channels if Shannon's capacity is positive (Theorem 3.2.1)
Elsevier BV
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17753817
https://pub.uni-bielefeld.de/record/1775381
https://pub.uni-bielefeld.de/download/1775381/2311894
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0019-9958(71)90783-2
info:eu-repo/semantics/altIdentifier/issn/ARRAY(0x8f64170)
info:eu-repo/semantics/altIdentifier/wos/A1971K329100005
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775415
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Source encoding with side information and a converse for degraded broadcast channels
Ahlswede, Rudolf
Körner, János
ddc:510
Ahlswede R, Körner J. Source encoding with side information and a converse for degraded broadcast channels. <em>IEEE transactions on information theory</em>. 1975;IT-21(6):629-637.
Institute of Electrical and Electronics Engineers (IEEE)
1975
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8783
https://pub.uni-bielefeld.de/record/1775415
https://pub.uni-bielefeld.de/download/1775415/2311905
eng
info:eu-repo/semantics/altIdentifier/issn/0018-9448
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775417
2019-04-30T08:52:14Z
book_chapter
doc-type:bookPart
ddc:510
book_chapterFtxt
open_access
Two contributions to information theory
Ahlswede, Rudolf
Gács, Peter
Csiszár, Imre
ddc:510
Ahlswede R, Gács P. Two contributions to information theory. In: Csiszár I, ed. <em>Topics in information theory</em>. Colloquia mathematica Societatis János Bolyai. Vol 16. Amsterdam: North Holland Publ.; 1975: 17-40.
North Holland Publ.
1975
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8795
https://pub.uni-bielefeld.de/record/1775417
https://pub.uni-bielefeld.de/download/1775417/2311906
eng
info:eu-repo/semantics/altIdentifier/isbn/0-7204-0699-4
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775419
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Coloring hypergraphs: A new approach to multi-user source coding, 1
Ahlswede, Rudolf
ddc:510
Ahlswede R. Coloring hypergraphs: A new approach to multi-user source coding, 1. <em>Journal of combinatorics, information & system sciences</em>. 1979;4(1):76-115.
Forum
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8800
https://pub.uni-bielefeld.de/record/1775419
https://pub.uni-bielefeld.de/download/1775419/2311907
eng
info:eu-repo/semantics/altIdentifier/issn/0250-9628
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775420
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Coloring hypergraphs: A new approach to multi-user source coding, 2
Ahlswede, Rudolf
ddc:510
Ahlswede R. Coloring hypergraphs: A new approach to multi-user source coding, 2. <em>Journal of combinatorics, information & system sciences</em>. 1980;5(3):220-268.
Forum
1980
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8815
https://pub.uni-bielefeld.de/record/1775420
https://pub.uni-bielefeld.de/download/1775420/2311908
eng
info:eu-repo/semantics/altIdentifier/issn/0250-9628
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775471
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Epimorphisms of compact groups are onto
Poguntke, Detlev
Finite-dimensional representations
Compact groups
Epimorphisms
Category
Unitary transformations
ddc:510
Poguntke D. Epimorphisms of compact groups are onto. <em>Proceedings of the American Mathematical Society</em>. 1970;26(3):503-504.
It is proved that the epimorphisms in the category of compact groups are surjective. The proof is based on the representation theory of compact groups, especially on the well-known fact, that for a closed proper subgroup H of a compact group G there exists an irreducible representation of G which, when restricted to H, contains the unit representation.
JSTOR
1970
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8950
https://pub.uni-bielefeld.de/record/1775471
https://pub.uni-bielefeld.de/download/1775471/2311922
eng
info:eu-repo/semantics/altIdentifier/issn/1099-6826
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775472
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
A universal property of the Takahashi quasi-dual
Poguntke, Detlev
ddc:510
Poguntke D. A universal property of the Takahashi quasi-dual. <em>Canadian Journal of mathematics = Journal canadien de mathématiques</em>. 1972;24:530-536.
University of Toronto Press
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8963
https://pub.uni-bielefeld.de/record/1775472
https://pub.uni-bielefeld.de/download/1775472/2311923
eng
info:eu-repo/semantics/altIdentifier/issn/1496-4279
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775473
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The coproduct of two circles
Poguntke, Detlev
ddc:510
Poguntke D. The coproduct of two circles. <em>General topology and its application</em>. 1976;6(2):127-144.
As is well known, the category of compact groups is complete and cocomplete. Whereas the structure of limits is well known, it is much harder to get some insight into the structure of colimits. In this paper we described the internal structure of the coproduct of two circle groups.
Elsevier BV
1976
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17754739
https://pub.uni-bielefeld.de/record/1775473
https://pub.uni-bielefeld.de/download/1775473/2311924
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0016-660X(76)90027-1
info:eu-repo/semantics/altIdentifier/issn/0016-660X
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775475
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Fördern durch Fordern - aktiv-entdeckende Lernformen im Mathematikunterricht der Schule für Lernbehinderte
Scherer, Petra
ddc:510
Scherer P. Fördern durch Fordern - aktiv-entdeckende Lernformen im Mathematikunterricht der Schule für Lernbehinderte. <em>Zeitschrift für Heilpädagogik</em>. 1994;45(11):761-773.
Innerhalb der Sonderpädagogik findet das Prinzip des aktiv-entdeckenden Lernens bisher kaum Berücksichtigung. Der Mathematikunterricht der Schule für Lernbehinderte versucht vielmehr, den eingeschränkten Fähigkeiten der lernbehinderten Schüler durch mechanisches, rezeptives Lernen gerecht zu werden. Der vorliegende Beitrag diskutiert Aspekte, die die Konzeption des produktiven Übens im Sinne des aktiv-entdeckenden Lernens auch bei Lernbehinderten sinnvoll erscheinen lassen. Dazu werden Beispiele produktiver Übungsformen aus dem Bereich der Arithmetik vorgestellt.
VDS
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8980
https://pub.uni-bielefeld.de/record/1775475
https://pub.uni-bielefeld.de/download/1775475/2311925
deu
info:eu-repo/semantics/altIdentifier/issn/0513-9066
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775476
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Zur Darstellung und Untersuchung von Funktionen im Mathematikunterricht mittels elektronischer Analogrechner
Rasfeld, Peter
ddc:510
Rasfeld P. Zur Darstellung und Untersuchung von Funktionen im Mathematikunterricht mittels elektronischer Analogrechner. <em>Praxis der Mathematik</em>. 1983;25(11):325-333.
In diesem Beitrag soll gezeigt werden, dass elektronische Analogrechner, wie sie von verschiedenen Firmen heute für den Schulgebrauch auf dem Lehrmittelmarkt angeboten werden, von beachtlichem Wert bei der Untersuchung funktionaler Zusammenhänge im Mathematikunterricht sein können. Während nur wenige Grundkenntnisse zur Herstellung der erforderlichen Rechenschaltungen auf einem solchen Rechner erforderlich sind, lassen sich mit ihrer Hilfe die Graphen der Funktionen z.B. auf einem Oszilloskop eindrucksvoll sichtbar machen (u.U. mit einigen Ableitungsfunktionen) und insbesondere unmittelbar beobachten, wie sich Änderungen von Vorzeichen oder Parametern auf ihren Verlauf auswirken.
Aulis-Verl. Deubner
1983
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-8991
https://pub.uni-bielefeld.de/record/1775476
https://pub.uni-bielefeld.de/download/1775476/2311926
deu
info:eu-repo/semantics/altIdentifier/issn/0032-7042
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775477
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Numerische Behandlung gewöhnlicher Differentialgleichungen im Mathematikunterricht, Teil 1
Rasfeld, Peter
ddc:510
Rasfeld P. Numerische Behandlung gewöhnlicher Differentialgleichungen im Mathematikunterricht, Teil 1. <em>Praxis der Mathematik</em>. 1987;29(5):281-291.
Aulis-Verl. Deubner
1987
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9007
https://pub.uni-bielefeld.de/record/1775477
https://pub.uni-bielefeld.de/download/1775477/2311927
deu
info:eu-repo/semantics/altIdentifier/issn/0032-7042
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775478
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Numerische Behandlung gewöhnlicher Differentialgleichungen im Mathematikunterricht, Teil 2
Rasfeld, Peter
ddc:510
Rasfeld P. Numerische Behandlung gewöhnlicher Differentialgleichungen im Mathematikunterricht, Teil 2. <em>Praxis der Mathematik</em>. 1987;29(6):355-362.
Aulis-Verl. Deubner
1987
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9019
https://pub.uni-bielefeld.de/record/1775478
https://pub.uni-bielefeld.de/download/1775478/2311928
deu
info:eu-repo/semantics/altIdentifier/issn/0032-7042
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775483
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Decomposition of tensor products of irreducible unitary representations
Poguntke, Detlev
Irreducible unitary representations of groups
Tensor products of representations
Intertwining operators
ddc:510
Poguntke D. Decomposition of tensor products of irreducible unitary representations. <em>Proceedings of the American Mathematical Society</em>. 1975;52(1):427-432.
JSTOR
1975
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9030
https://pub.uni-bielefeld.de/record/1775483
https://pub.uni-bielefeld.de/download/1775483/2311930
eng
info:eu-repo/semantics/altIdentifier/doi/10.2307/2040177
info:eu-repo/semantics/altIdentifier/issn/0002-9939
info:eu-repo/semantics/altIdentifier/wos/A1975AS83600089
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775484
2020-11-10T14:00:51Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Symmetry and nonsymmetry for locally compact groups
Leptin, Horst
Poguntke, Detlev
ddc:510
Leptin H, Poguntke D. Symmetry and nonsymmetry for locally compact groups. <em>Journal of functional analysis</em>. 1979;33(2):119-134.
The class [S] of locally compact groups G is considered, for which the algebra L to the power of 1(G) is symmetric (=Hermitian). It is shown that [S] is stable under semidirect compact extensions, i.e., H Epsilon [S] and K compact implies K xs H Epsilon [S]. For connected solvable Lie groups inductive conditions for symmetry are given. A construction for nonsymmetric Banach algebras is given which shows that there exists exactly one connected and simply solvable Lie group of dimension less-than-or-equals 4 which is not in [S]. This example shows that G/Z Epsilon [S], Z the center of G, in general does not imply G Epsilon [S]. It is shown that nevertheless for discrete groups and a (possibly) stronger form of symmetry this implication holds, implying a new and shorter proof of the fact that [S] contains all discrete nilpotent groups.
Elsevier BV
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17754844
https://pub.uni-bielefeld.de/record/1775484
https://pub.uni-bielefeld.de/download/1775484/2311931
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0022-1236(79)90107-1
info:eu-repo/semantics/altIdentifier/issn/0022-1236
info:eu-repo/semantics/altIdentifier/wos/A1979HR59800001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775486
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
A method of coding and its application to arbitrarily varying channels
Ahlswede, Rudolf
ddc:510
Ahlswede R. A method of coding and its application to arbitrarily varying channels. <em>Journal of combinatorics, information and system sciences</em>. 1980;5(1):10-35.
Forum
1980
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9057
https://pub.uni-bielefeld.de/record/1775486
https://pub.uni-bielefeld.de/download/1775486/2311932
eng
info:eu-repo/semantics/altIdentifier/issn/0250-9628
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775487
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
To get a bit of information may be as hard as to get full information
Ahlswede, Rudolf
Csiszár, Imre
ddc:510
Ahlswede R, Csiszár I. To get a bit of information may be as hard as to get full information. <em>IEEE transactions on information theory</em>. 1981;27(4):398-408.
The following coding problem for correlated discrete memoryless sources is considered. The two sources can be separately block encoded, and the values of the encoding functions are available to a decoder who wnats to answer a certain question concerning the source outputs. Typically, this question has only a few possible answers (even as few as two). The rates of the encoding functionsmust be found that enable the decoder to answer this question correctly with high probability. It is proven that these rates are often as large as those needed for a full reproduction of the outputs of both sources. Furthermore, if one source is comletely known at the decoder, this phenomenon already occurs when what is asked for is the joint type (joint composition) of the two source output blocks, or some function thereof such as the Hamming distance of the two blocks or (for alphabet size at least three) just the parity of this Hamming distance.
Institute of Electrical and Electronics Engineers (IEEE)
1981
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9068
https://pub.uni-bielefeld.de/record/1775487
https://pub.uni-bielefeld.de/download/1775487/2311933
eng
info:eu-repo/semantics/altIdentifier/doi/10.1109/TIT.1981.1056381
info:eu-repo/semantics/altIdentifier/issn/0018-9448
info:eu-repo/semantics/altIdentifier/wos/A1981MD77700002
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775489
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Remarks on Shannon's secrecy systems
Ahlswede, Rudolf
ddc:510
Ahlswede R. Remarks on Shannon's secrecy systems. <em>Problems of Control and Information Theory</em>. 1982;11(4):301-318.
The paper contains three improvements of Shannon's theory of secrecy systems: 1. By a very simple construction we obtain ciphers which are with respect to natural security measures as good as Shannon's 'random ciphers'. 2. For this construction it is unnecessary to assume that the messages are essentially equally likely. Shannon made this assumption in order to the make his 'random cipher' approach work. 3. Furthermore we construct optimal ciphers under the rather robust assumption that only a bound on the entropy of the source is known to the communicators and that the cryptanalyst is still granted to know the message statistic exactly. Finally we construct worst codes for the binary symmetric channel and emphasize the importance of this 'dual coding problem' for cryptography.
Akad. Kiadó
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9076
https://pub.uni-bielefeld.de/record/1775489
https://pub.uni-bielefeld.de/download/1775489/2311934
eng
info:eu-repo/semantics/altIdentifier/issn/0370-2529
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775490
2018-07-24T12:58:27Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Nichtsymmetrische sechsdimensionale Liesche Gruppen
Poguntke, Detlev
ddc:510
Poguntke D. Nichtsymmetrische sechsdimensionale Liesche Gruppen. <em>Journal für die reine und angewandte Mathematik</em>. 1979;306:154-176.
Walter de Gruyter GmbH
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9085
https://pub.uni-bielefeld.de/record/1775490
https://pub.uni-bielefeld.de/download/1775490/2311935
deu
info:eu-repo/semantics/altIdentifier/issn/0075-4102
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775491
2018-07-24T12:59:17Z
book_chapter
doc-type:bookPart
ddc:510
book_chapterFtxt
open_access
Symmetry (or simple modules) of some Banach algebras
Poguntke, Detlev
Petridis, N.
ddc:510
Poguntke D. Symmetry (or simple modules) of some Banach algebras. In: Petridis N, ed. <em>Harmonic Analysis Iraklion 1978: Proceedings of a Conference held at the University of Crete, Iraklion, Greece, July 1978</em>. Lecture Notes in Mathematics; 781. Berlin: Springer; 1980: 177-193.
Springer
1980
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17754915
https://pub.uni-bielefeld.de/record/1775491
https://pub.uni-bielefeld.de/download/1775491/2311936
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BFb0097655
info:eu-repo/semantics/altIdentifier/isbn/978-3-540-09756-3
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775493
2020-11-10T13:49:08Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Symmetry and nonsymmetry for a class of exponential Lie groups
Poguntke, Detlev
ddc:510
Poguntke D. Symmetry and nonsymmetry for a class of exponential Lie groups. <em>Journal für die reine und angewandte Mathematik</em>. 1980;315:127-138.
This paper is a contribution to the question for which simply connected Lie groups G the group algebra L to the power of 1(G) is symmetric (=hermitean). For groups G in a certain subclass of the class of exponential Lie groups a necessary and sufficient condition for the symmetry of L to the power of 1(G) is given in terms of the Lie algebra of G. This subclass contains all groups with Lie algebra g such that the (additive) Jordan decomposition is possible in ad(g). The condition was introduced by Boidol in exploring the *-primitve ideal space, and so the main result of the paper implies that for some exponential Lie groups G the symmetry of L to the power of 1(G) is equivalent to a certain property of the *-primitive ideal space. Moreover, an example of a seven-dimensional exponential Lie group G with symmetric group algebra is given where the existing general methods are not applicable to get the symmetry.
Walter de Gruyter GmbH
1980
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9108
https://pub.uni-bielefeld.de/record/1775493
https://pub.uni-bielefeld.de/download/1775493/2311937
eng
info:eu-repo/semantics/altIdentifier/doi/10.1515/crll.1980.315.127
info:eu-repo/semantics/altIdentifier/issn/0075-4102
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775494
2020-11-10T13:26:04Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Algebraically irreducible representations of L to the power of 1-algebras of exponential Lie groups
Poguntke, Detlev
ddc:510
Poguntke D. Algebraically irreducible representations of L to the power of 1-algebras of exponential Lie groups. <em>Duke mathematical journal</em>. 1983;50(4):1077-1106.
Duke University Press
1983
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17754942
https://pub.uni-bielefeld.de/record/1775494
https://pub.uni-bielefeld.de/download/1775494/2311938
eng
info:eu-repo/semantics/altIdentifier/doi/10.1215/S0012-7094-83-05045-7
info:eu-repo/semantics/altIdentifier/issn/0012-7094
info:eu-repo/semantics/altIdentifier/wos/A1983RZ62800006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775496
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Auflösbare Liesche Gruppen mit symmetrischen L1-Algebren
Poguntke, Detlev
ddc:510
Poguntke D. Auflösbare Liesche Gruppen mit symmetrischen L1-Algebren. <em>Journal für die reine und angewandte Mathematik</em>. 1985;358:20-42.
Walter de Gruyter GmbH
1985
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9127
https://pub.uni-bielefeld.de/record/1775496
https://pub.uni-bielefeld.de/download/1775496/2311939
deu
info:eu-repo/semantics/altIdentifier/issn/0075-4102
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775497
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Dense Lie group homomorphisms
Poguntke, Detlev
ddc:510
Poguntke D. Dense Lie group homomorphisms. <em>Journal of algebra</em>. 1994;169(2):625-647.
Elsevier BV
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9131
https://pub.uni-bielefeld.de/record/1775497
https://pub.uni-bielefeld.de/download/1775497/2311940
eng
info:eu-repo/semantics/altIdentifier/doi/10.1006/jabr.1994.1300
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1994PP05100012
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775498
2018-07-24T12:58:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Unitary representations of Lie groups and operators of finite rank
Poguntke, Detlev
ddc:510
Poguntke D. Unitary representations of Lie groups and operators of finite rank. <em>Annals of Mathematics</em>. 1994;140(3):503-556.
JSTOR
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9143
https://pub.uni-bielefeld.de/record/1775498
https://pub.uni-bielefeld.de/download/1775498/2311941
eng
info:eu-repo/semantics/altIdentifier/doi/10.2307/2118617
info:eu-repo/semantics/altIdentifier/issn/0003-486X
info:eu-repo/semantics/altIdentifier/wos/A1994PZ52200001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775509
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Bad codes are good ciphers
Ahlswede, Rudolf
Dueck, Gunter
ddc:510
Ahlswede R, Dueck G. Bad codes are good ciphers. <em>Problems of Control and Information Theory</em>. 1982;11(5):337-351.
The paper investigates secrecy systems with additive-like instantaneous block encipherers subject to the error probability criterion. It is shown first that good ciphers for this system are bad codes for an associated discrete memoryless channel (DMC). Then asymptotically worst channel codes for any DMC are constructed explicitly. Applied to the secrecy system, this result gives an asymptotically optimal solution for the enciphering problem.
Akad. Kiadó
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9180
https://pub.uni-bielefeld.de/record/1775509
https://pub.uni-bielefeld.de/download/1775509/2311944
eng
info:eu-repo/semantics/altIdentifier/issn/0370-2529
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775511
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The spectral radius of the Coxeter transformations for a generalized Cartan matrix
Ringel, Claus Michael
ddc:510
Ringel CM. The spectral radius of the Coxeter transformations for a generalized Cartan matrix. <em>Mathematische Annalen</em>. 1994;300(1):331-339.
Springer Science and Business Media LLC
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9209
https://pub.uni-bielefeld.de/record/1775511
https://pub.uni-bielefeld.de/download/1775511/2311945
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01450490
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/altIdentifier/issn/1432-1807
info:eu-repo/semantics/altIdentifier/wos/A1994PP58300008
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1660298
2019-07-12T13:47:54Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Perturbation theorems for the generalized eigenvalue problem
Elsner, Ludwig
Sun, Ji-Guang
ddc:510
Elsner L, Sun J-G. Perturbation theorems for the generalized eigenvalue problem. <em>Linear algebra and its applications</em>. 1982;48(DEC):341-357.
ELSEVIER SCIENCE INC
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-16602989
https://pub.uni-bielefeld.de/record/1660298
https://pub.uni-bielefeld.de/download/1660298/2311160
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0024-3795(82)90120-3
info:eu-repo/semantics/altIdentifier/issn/0024-3795
info:eu-repo/semantics/altIdentifier/wos/A1982PX39700027
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775618
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Directing projective modules
Happel, Dieter
Ringel, Claus Michael
ddc:510
Happel D, Ringel CM. Directing projective modules. <em>Archiv der Mathematik</em>. 1993;60(3):237-246.
Springer Science and Business Media LLC
1993
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info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01198807
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The module theoretical approach to quasi-hereditary algebras
Dlab, Vlastimil
Ringel, Claus Michael
Tachikawa, H.
Brenner, S.
ddc:510
Dlab V, Ringel CM. The module theoretical approach to quasi-hereditary algebras. In: Tachikawa H, Brenner S, eds. <em>Representations of Algebras and Related Topics</em>. London Mathematical Society lecture note series. Vol 168. Cambridge: Cambridge Univ. Press; 1992: 200-224.
Cambridge Univ. Press
1992
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9502
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eng
info:eu-repo/semantics/altIdentifier/doi/10.1017/CBO9780511661853.007
info:eu-repo/semantics/altIdentifier/isbn/0-521-42411-9
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oai:pub.uni-bielefeld.de:1775626
2020-06-17T13:13:34Z
book_chapter
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Lie algebras (arising in representation theory)
Ringel, Claus Michael
Tachikawa, H.
Brenner, S.
ddc:510
Ringel CM. Lie algebras (arising in representation theory). In: Tachikawa H, Brenner S, eds. <em>Representations of Algebras and Related Topics</em>. London Mathematical Society lecture note series. Vol 168. Cambridge: Cambridge Univ. Press; 1992: 284-291.
Cambridge Univ. Press
1992
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9512
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eng
info:eu-repo/semantics/altIdentifier/doi/10.1017/CBO9780511661853.010
info:eu-repo/semantics/altIdentifier/isbn/0-521-42411-9
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oai:pub.uni-bielefeld.de:1775627
2018-07-24T12:59:00Z
journal_article
doc-type:article
ddc:510
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A bypass of an arrow is sectional
Crawley-Boevey, William
Happel, Dieter
Ringel, Claus Michael
ddc:510
Crawley-Boevey W, Happel D, Ringel CM. A bypass of an arrow is sectional. <em>Archiv der Mathematik</em>. 1992;58(6):525-528.
Springer Science and Business Media LLC
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9522
https://pub.uni-bielefeld.de/record/1775627
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eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01193520
info:eu-repo/semantics/altIdentifier/issn/0003-889X
info:eu-repo/semantics/altIdentifier/issn/1420-8938
info:eu-repo/semantics/altIdentifier/wos/A1992JD10800002
info:eu-repo/semantics/openAccess
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oai:pub.uni-bielefeld.de:1775630
2019-03-27T13:15:35Z
journal_article
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Algebras whose Auslander-Reiten quivers have large regular components
Crawley-Boevey, William
Ringel, Claus Michael
ddc:510
Crawley-Boevey W, Ringel CM. Algebras whose Auslander-Reiten quivers have large regular components. <em>Journal of Algebra</em>. 1992;153(2):494-516.
Elsevier BV
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9532
https://pub.uni-bielefeld.de/record/1775630
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eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(92)90169-M
info:eu-repo/semantics/altIdentifier/issn/0021-8693
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oai:pub.uni-bielefeld.de:1775632
2020-06-17T12:46:30Z
journal_article
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ddc:510
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Towers of Semi-simple algebras
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. Towers of Semi-simple algebras. <em>Journal of functional analysis</em>. 1991;102(1):35-46.
Academic Press
1991
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9546
https://pub.uni-bielefeld.de/record/1775632
https://pub.uni-bielefeld.de/download/1775632/2311976
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0022-1236(91)90134-Q
info:eu-repo/semantics/altIdentifier/issn/0022-1236
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oai:pub.uni-bielefeld.de:1775649
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
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The category of modules with good filtrations over a quasi-heriditary algebra has almost split sequences
Ringel, Claus Michael
ddc:510
Ringel CM. The category of modules with good filtrations over a quasi-heriditary algebra has almost split sequences. <em>Mathematische Zeitschrift</em>. 1991;208(1):209-223.
Springer Science and Business Media LLC
1991
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9588
https://pub.uni-bielefeld.de/record/1775649
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eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF02571521
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1991GL10600004
info:eu-repo/semantics/openAccess
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oai:pub.uni-bielefeld.de:1775656
2020-06-10T14:11:11Z
book_chapter
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The dimension of a quasi-hereditary algebra
Dlab, Vlastimil
Ringel, Claus Michael
Balcerzyk, Stanislaw
ddc:510
Dlab V, Ringel CM. The dimension of a quasi-hereditary algebra. In: Balcerzyk S, ed. <em>Topics in Algebra. 1: Rings and representations of algebras</em>. Banach Center publications. Vol 26,1. Warszawa: Panstw. Wyd. Naukowe; 1990: 263-271.
Panstw. Wyd. Naukowe
1990
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9603
https://pub.uni-bielefeld.de/record/1775656
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eng
info:eu-repo/semantics/altIdentifier/isbn/83-01-09579-2
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oai:pub.uni-bielefeld.de:1775664
2020-06-17T12:42:50Z
journal_article
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The Hochschild cocycle corresponding to a long exact sequence
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. The Hochschild cocycle corresponding to a long exact sequence. <em>Tsukuba Journal of Mathematics</em>. 1990;14(2):489-496.
Japan Publ. Trading Co.
1990
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9625
https://pub.uni-bielefeld.de/record/1775664
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eng
info:eu-repo/semantics/altIdentifier/doi/10.21099/tkbjm/1496161467
info:eu-repo/semantics/altIdentifier/issn/0387-4982
info:eu-repo/semantics/openAccess
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oai:pub.uni-bielefeld.de:1775666
2020-06-10T14:14:08Z
book_chapter
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ddc:510
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The canonical algebras (with an appendix by W. Crawley-Boevey)
Crawley-Boevey, William
Ringel, Claus Michael
Balcerzyk, Stanislaw
ddc:510
Crawley-Boevey W, Ringel CM. The canonical algebras (with an appendix by W. Crawley-Boevey). In: Balcerzyk S, ed. <em>Topics in Algebra. 1: Rings and representations of algebras</em>. Banach Center publications. Vol 26,1. Warszawa: Panstw. Wyd. Naukowe; 1990: 407-432.
Panstw. Wyd. Naukowe
1990
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9632
https://pub.uni-bielefeld.de/record/1775666
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eng
info:eu-repo/semantics/altIdentifier/isbn/83-01-09579-2
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oai:pub.uni-bielefeld.de:1775668
2020-06-10T11:43:57Z
book_chapter
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Hall algebras
Ringel, Claus Michael
Balcerzyk, Stanislaw
ddc:510
Ringel CM. Hall algebras. In: Balcerzyk S, ed. <em>Topics in Algebra. 1: Rings and representations of algebras</em>. Banach Center publications. Vol 26,1. Warszawa: Panstw. Wyd. Naukowe; 1990: 433-447.
Panstw. Wyd. Naukowe
1990
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9644
https://pub.uni-bielefeld.de/record/1775668
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eng
info:eu-repo/semantics/altIdentifier/isbn/83-01-09579-2
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oai:pub.uni-bielefeld.de:1775727
2019-03-27T13:15:46Z
journal_article
doc-type:article
ddc:510
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A construction for quasi-hereditary algebras
Dlab, Vlastimil
Ringel, Claus Michael
Heredity chain
Good filtrations
Heredity ideal
Quasi-hereditary rings
Tensor algebra
ddc:510
Dlab V, Ringel CM. A construction for quasi-hereditary algebras. <em>Compositio Mathematica</em>. 1989;70(2):155-175.
Oxford University Press - London Mathematical Society
1989
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9769
https://pub.uni-bielefeld.de/record/1775727
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eng
info:eu-repo/semantics/altIdentifier/issn/0010-437X
info:eu-repo/semantics/altIdentifier/wos/A1989U755600003
info:eu-repo/semantics/openAccess
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oai:pub.uni-bielefeld.de:1775729
2019-05-29T09:13:26Z
journal_article
doc-type:article
ddc:510
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open_access
Quasi-hereditary algebras
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. Quasi-hereditary algebras. <em>Illinois Journal of Mathematics</em>. 1989;33(2):280-291.
Duke University Press
1989
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9772
https://pub.uni-bielefeld.de/record/1775729
https://pub.uni-bielefeld.de/download/1775729/2311999
eng
info:eu-repo/semantics/altIdentifier/doi/10.1215/ijm/1255988725
info:eu-repo/semantics/altIdentifier/issn/0010-2082
info:eu-repo/semantics/altIdentifier/wos/A1989AC21400007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775731
2020-06-10T14:00:44Z
journal_article
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ddc:510
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On modular representations of $A_{4}$
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. On modular representations of $A_{4}$ . <em>Journal of algebra</em>. 1989;123(2):506-522.
Elsevier BV
1989
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757314
https://pub.uni-bielefeld.de/record/1775731
https://pub.uni-bielefeld.de/download/1775731/2312000
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(89)90060-4
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1989AD82400014
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775734
2020-06-04T09:25:15Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Eine Charakterisierung der Homotopiekategorie der CW-Komplexe
Ringel, Claus Michael
ddc:510
Ringel CM. Eine Charakterisierung der Homotopiekategorie der CW-Komplexe. <em>Mathematische Zeitschrift</em>. 1970;115(5):359-365.
Springer
1970
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757347
https://pub.uni-bielefeld.de/record/1775734
https://pub.uni-bielefeld.de/download/1775734/2312001
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01131308
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1970H037300005
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775736
2020-06-04T09:26:53Z
journal_article
doc-type:article
ddc:510
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open_access
Diagonalisierungspaare I
Ringel, Claus Michael
ddc:510
Ringel CM. Diagonalisierungspaare I. <em>Mathematische Zeitschrift</em>. 1970;117(1-4):249-266.
Springer
1970
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757369
https://pub.uni-bielefeld.de/record/1775736
https://pub.uni-bielefeld.de/download/1775736/2312002
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01109846
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1970H975200026
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775738
2020-06-04T09:29:52Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Diagonalisierungspaare II
Ringel, Claus Michael
ddc:510
Ringel CM. Diagonalisierungspaare II. <em>Mathematische Zeitschrift</em>. 1971;122(1):10-32.
Springer
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757387
https://pub.uni-bielefeld.de/record/1775738
https://pub.uni-bielefeld.de/download/1775738/2312003
deu
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01113561
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1971K198700002
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775740
2020-06-04T09:28:43Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Faserungen und Homotopie in Kategorien
Ringel, Claus Michael
ddc:510
Ringel CM. Faserungen und Homotopie in Kategorien. <em>Mathematische Annalen</em>. 1971;190:215-230.
Springer
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9823
https://pub.uni-bielefeld.de/record/1775740
https://pub.uni-bielefeld.de/download/1775740/2312004
deu
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775741
2020-06-04T09:47:15Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Monofunctors as reflectors
Ringel, Claus Michael
ddc:510
Ringel CM. Monofunctors as reflectors. <em>Transactions of the American Mathematical Society</em>. 1971;161:293-306.
In a well-powered and co-well-powered complete category K with weak amalgamations, the class M of all reflective subcategories with a monofunctor as reflector forms a complete lattice; the limit-closure of the union of any class of elements of M belongs to M. If K has injective envelopes, then the set-theoretical intersection of any class of elements of M belongs to M.
AMS
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9832
https://pub.uni-bielefeld.de/record/1775741
https://pub.uni-bielefeld.de/download/1775741/2312005
eng
info:eu-repo/semantics/altIdentifier/doi/10.2307/1995944
info:eu-repo/semantics/altIdentifier/issn/0002-9947
info:eu-repo/semantics/altIdentifier/wos/A1971K919400021
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775742
2019-03-27T13:15:31Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The intersection property of amalgamations
Ringel, Claus Michael
ddc:510
Ringel CM. The intersection property of amalgamations. <em>Journal of pure and applied algebra</em>. 1972;2(4):341-342.
Elsevier BV
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757421
https://pub.uni-bielefeld.de/record/1775742
https://pub.uni-bielefeld.de/download/1775742/2312006
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0022-4049(72)90010-2
info:eu-repo/semantics/altIdentifier/issn/0022-4049
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775744
2019-03-27T13:15:38Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Rings with the double centralizer property
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. Rings with the double centralizer property. <em>Journal of algebra</em>. 1972;22(3):480-501.
Elsevier BV
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757445
https://pub.uni-bielefeld.de/record/1775744
https://pub.uni-bielefeld.de/download/1775744/2312007
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(72)90163-9
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1972N376100006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775747
2020-06-04T14:20:19Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
A class of balanced non-uniserial rings
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. A class of balanced non-uniserial rings. <em>Mathematische Annalen</em>. 1972;195(2):279-291.
Springer
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9865
https://pub.uni-bielefeld.de/record/1775747
https://pub.uni-bielefeld.de/download/1775747/2312008
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01423614
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775749
2020-06-04T12:56:47Z
book_chapter
doc-type:bookPart
ddc:510
book_chapterFtxt
open_access
Balanced rings
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. Balanced rings. In: <em>Lectures on rings and modules</em>. Lecture notes in mathematics . Vol 246. Berlin [u.a.]: Springer; 1972: 73-143.
Springer
1972
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9877
https://pub.uni-bielefeld.de/record/1775749
https://pub.uni-bielefeld.de/download/1775749/2312009
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BFb0059564
info:eu-repo/semantics/altIdentifier/isbn/3-540-05760-9
info:eu-repo/semantics/openAccess
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oai:pub.uni-bielefeld.de:1775751
2019-03-27T13:15:38Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Decomposition of modules over right uniserial rings
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. Decomposition of modules over right uniserial rings. <em>Mathematische Zeitschrift</em>. 1972;129(3):207-230.
Springer Science and Business Media LLC
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757516
https://pub.uni-bielefeld.de/record/1775751
https://pub.uni-bielefeld.de/download/1775751/2312010
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01187349
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1972O644600004
info:eu-repo/semantics/openAccess
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oai:pub.uni-bielefeld.de:1775754
2019-03-27T13:15:31Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Socle conditions for QF-1 rings
Ringel, Claus Michael
ddc:510
Ringel CM. Socle conditions for QF-1 rings. <em>Pacific Journal of Mathematics</em>. 1973;44(1):309-336.
Univ.
1973
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9894
https://pub.uni-bielefeld.de/record/1775754
https://pub.uni-bielefeld.de/download/1775754/2312011
eng
info:eu-repo/semantics/altIdentifier/issn/0030-8730
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775755
2019-03-27T13:15:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
QF-1 rings of global dimension less than or = 2
Ringel, Claus Michael
ddc:510
Ringel CM. QF-1 rings of global dimension less than or = 2. <em>Canadian journal of mathematics</em>. 1973;25(2):345-352.
University of Toronto Press
1973
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9903
https://pub.uni-bielefeld.de/record/1775755
https://pub.uni-bielefeld.de/download/1775755/2312012
eng
info:eu-repo/semantics/altIdentifier/issn/1496-4279
info:eu-repo/semantics/openAccess
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oai:pub.uni-bielefeld.de:1775756
2020-10-01T09:26:16Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
QF-3 rings
Ringel, Claus Michael
Tachikawa, Hiroyuki
ddc:510
Ringel CM, Tachikawa H. QF-3 rings. <em>Journal für die reine und angewandte Mathematik</em>. 1975;272:49-72.
Walter de Gruyter GmbH
1975
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9913
https://pub.uni-bielefeld.de/record/1775756
https://pub.uni-bielefeld.de/download/1775756/2312013
eng
info:eu-repo/semantics/altIdentifier/issn/0075-4102
info:eu-repo/semantics/altIdentifier/issn/1435-5345
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775758
2020-03-27T13:55:58Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
On algebras of finite representation type
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. On algebras of finite representation type. <em>Journal of algebra</em>. 1975;33(2):306-394.
Elsevier
1975
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757587
https://pub.uni-bielefeld.de/record/1775758
https://pub.uni-bielefeld.de/download/1775758/2312014
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(75)90125-8
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1975V579300008
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775761
2020-03-27T13:52:44Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Unions of chains of indecomposable modules
Ringel, Claus Michael
Linear and multilineara Algebra
Numerical algebra
ddc:510
Ringel CM. Unions of chains of indecomposable modules. <em>Communications in Algebra</em>. 1975;3(12):1121-1144.
Taylor & Francis
1975
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757617
https://pub.uni-bielefeld.de/record/1775761
https://pub.uni-bielefeld.de/download/1775761/2312015
eng
info:eu-repo/semantics/altIdentifier/doi/10.1080/00927877508822091
info:eu-repo/semantics/altIdentifier/issn/0092-7872
info:eu-repo/semantics/altIdentifier/issn/1532-4125
info:eu-repo/semantics/altIdentifier/wos/A1975BA11700005
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775763
2020-10-01T09:21:17Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The indecomposable representations of the dihedral 2-groups
Ringel, Claus Michael
ddc:510
Ringel CM. The indecomposable representations of the dihedral 2-groups. <em>Mathematische Annalen</em>. 1975;214:19-34.
SPRINGER VERLAG
1975
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9949
https://pub.uni-bielefeld.de/record/1775763
https://pub.uni-bielefeld.de/download/1775763/2312016
eng
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/altIdentifier/issn/1432-1807
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775764
2020-03-27T12:48:08Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Representations of K-species and bimodules
Ringel, Claus Michael
ddc:510
Ringel CM. Representations of K-species and bimodules. <em>Journal of algebra</em>. 1976;41(2):269-302.
Elsevier
1976
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757642
https://pub.uni-bielefeld.de/record/1775764
https://pub.uni-bielefeld.de/download/1775764/2312017
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(76)90184-8
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1976CH00800004
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775766
2020-03-30T11:01:30Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Real subspaces of a quaternion vector space
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. Real subspaces of a quaternion vector space. <em>Canadian journal of mathematics</em>. 1978;30(6):1228-1242.
University of Toronto Press
1978
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-9978
https://pub.uni-bielefeld.de/record/1775766
https://pub.uni-bielefeld.de/download/1775766/2312018
eng
info:eu-repo/semantics/altIdentifier/doi/10.4153/CJM-1978-102-6
info:eu-repo/semantics/altIdentifier/issn/1496-4279
info:eu-repo/semantics/altIdentifier/wos/A1978GG43600009
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775783
2020-03-27T10:49:33Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Remarks on a paper by Skornjakov concerning rings for which every module is a direct sum of left ideals
Jøndrup, Søren
Ringel, Claus Michael
ddc:510
Jøndrup S, Ringel CM. Remarks on a paper by Skornjakov concerning rings for which every module is a direct sum of left ideals. <em>Archiv der Mathematik</em>. 1978;31(1):329-331.
Birkhäuser
1978
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757831
https://pub.uni-bielefeld.de/record/1775783
https://pub.uni-bielefeld.de/download/1775783/2312022
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01226456
info:eu-repo/semantics/altIdentifier/issn/0003-889X
info:eu-repo/semantics/altIdentifier/issn/1420-8938
info:eu-repo/semantics/altIdentifier/wos/A1978GK52600002
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775786
2020-03-27T10:33:52Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Finite-dimensional hereditary algebras of wild representation type
Ringel, Claus Michael
ddc:510
Ringel CM. Finite-dimensional hereditary algebras of wild representation type. <em>Mathematische Zeitschrift</em>. 1978;161(3):235-255.
Springer
1978
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757869
https://pub.uni-bielefeld.de/record/1775786
https://pub.uni-bielefeld.de/download/1775786/2312023
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01214506
info:eu-repo/semantics/altIdentifier/issn/0025-5874
info:eu-repo/semantics/altIdentifier/issn/1432-1823
info:eu-repo/semantics/altIdentifier/wos/A1978FK77300005
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775788
2020-03-27T10:12:30Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Diagrammatic methods in the representation theory of orders
Ringel, Claus Michael
Roggenkamp, Klaus W.
ddc:510
Ringel CM, Roggenkamp KW. Diagrammatic methods in the representation theory of orders. <em>Journal of algebra</em>. 1979;60(1):11-42.
Elsevier
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757881
https://pub.uni-bielefeld.de/record/1775788
https://pub.uni-bielefeld.de/download/1775788/2312024
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(79)90106-6
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1979HV27400002
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775791
2020-03-26T12:25:01Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Socle determined categories of representations of artinian hereditary tensor algebras
Roggenkamp, Klaus W.
Ringel, Claus Michael
ddc:510
Roggenkamp KW, Ringel CM. Socle determined categories of representations of artinian hereditary tensor algebras. <em>Journal of algebra</em>. 1980;64(1):249-269.
Elsevier
1980
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17757916
https://pub.uni-bielefeld.de/record/1775791
https://pub.uni-bielefeld.de/download/1775791/2312025
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(80)90145-3
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1980KA03300019
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775794
2020-03-26T10:50:11Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Perfect elements in the free modular lattices
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. Perfect elements in the free modular lattices. <em>Mathematische Annalen</em>. 1980;247(2):95-100.
Springer
1980
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-10054
https://pub.uni-bielefeld.de/record/1775794
https://pub.uni-bielefeld.de/download/1775794/2312026
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01364135
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/altIdentifier/issn/1432-1807
info:eu-repo/semantics/altIdentifier/wos/A1980JM78700001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775796
2020-03-26T12:22:08Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Binary polyhedral groups and Euclidean diagrams
Happel, Dieter
Preiser, Udo
Ringel, Claus Michael
ddc:510
Happel D, Preiser U, Ringel CM. Binary polyhedral groups and Euclidean diagrams. <em>Manuscripta mathematica</em>. 1980;31(1-3):317-329.
Springer
1980
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-10067
https://pub.uni-bielefeld.de/record/1775796
https://pub.uni-bielefeld.de/download/1775796/2312027
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01303280
info:eu-repo/semantics/altIdentifier/issn/0025-2611
info:eu-repo/semantics/altIdentifier/issn/1432-1785
info:eu-repo/semantics/altIdentifier/wos/A1980JY38400015
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775799
2020-03-25T13:50:40Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Tilted algebras
Happel, Dieter
Ringel, Claus Michael
ddc:510
Happel D, Ringel CM. Tilted algebras. <em>Transactions of the American Mathematical Society</em>. 1982;274(2):399-443.
American Mathematical Society (AMS)
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-10076
https://pub.uni-bielefeld.de/record/1775799
https://pub.uni-bielefeld.de/download/1775799/2312028
eng
info:eu-repo/semantics/altIdentifier/doi/10.2307/1999116
info:eu-repo/semantics/altIdentifier/issn/0002-9947
info:eu-repo/semantics/altIdentifier/wos/A1982PY59500001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775801
2020-03-25T13:36:40Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Bricks in hereditary length categories
Ringel, Claus Michael
ddc:510
Ringel CM. Bricks in hereditary length categories. <em>Resultate der Mathematik</em>. 1983;6:64-70.
Birkhäuser
1983
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-10087
https://pub.uni-bielefeld.de/record/1775801
https://pub.uni-bielefeld.de/download/1775801/2312029
eng
info:eu-repo/semantics/altIdentifier/issn/0378-6218
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775802
2020-03-25T13:25:01Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Coherent tubes
d'Este, Gabriella
Ringel, Claus Michael
ddc:510
d'Este G, Ringel CM. Coherent tubes. <em>Journal of algebra</em>. 1984;87(1):150-201.
Elsevier
1984
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-10100
https://pub.uni-bielefeld.de/record/1775802
https://pub.uni-bielefeld.de/download/1775802/2312030
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(84)90165-0
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1984SH36500010
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1775804
2020-03-25T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
A class of bounded hereditary noetherian domains
Dlab, Vlastimil
Ringel, Claus Michael
ddc:510
Dlab V, Ringel CM. A class of bounded hereditary noetherian domains. <em>Journal of Algebra</em>. 1985;92(2):311-321.
Elsevier
1985
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17758040
https://pub.uni-bielefeld.de/record/1775804
https://pub.uni-bielefeld.de/download/1775804/2312031
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0021-8693(85)90123-1
info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/wos/A1985ADR8300003
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776051
2020-06-05T13:14:34Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Auslander-Reiten sequences with few middle terms and applications to string algebras
Butler, M. C. R.
Ringel, Claus Michael
ddc:510
Butler MCR, Ringel CM. Auslander-Reiten sequences with few middle terms and applications to string algebras. <em>Communications in Algebra</em>. 1987;15(1-2):145-179.
Taylor & Francis
1987
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-10648
https://pub.uni-bielefeld.de/record/1776051
https://pub.uni-bielefeld.de/download/1776051/2312059
eng
info:eu-repo/semantics/altIdentifier/doi/10.1080/00927878708823416
info:eu-repo/semantics/altIdentifier/issn/0092-7872
info:eu-repo/semantics/altIdentifier/issn/1532-4125
info:eu-repo/semantics/altIdentifier/wos/A1987G446300009
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776053
2020-06-10T11:34:39Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The regular components of the Auslander-Reiten quiver of a tilted algebra
Ringel, Claus Michael
ddc:510
Ringel CM. The regular components of the Auslander-Reiten quiver of a tilted algebra. <em>Chinese Annals of Mathematics, B</em>. 1988;9(1):1-18.
Baltzer Sci Publ Bv
1988
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-10655
https://pub.uni-bielefeld.de/record/1776053
https://pub.uni-bielefeld.de/download/1776053/2312060
eng
info:eu-repo/semantics/altIdentifier/issn/0252-9599
info:eu-repo/semantics/altIdentifier/wos/A1988N319200001
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776054
2018-07-24T12:58:05Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Modules of bounded length in Auslander-Reiten components
Marmolejo, Eugenia
Ringel, Claus Michael
ddc:510
Marmolejo E, Ringel CM. Modules of bounded length in Auslander-Reiten components. <em>Archiv der Mathematik</em>. 1988;50(2):128-133.
Springer Science and Business Media LLC
1988
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17760544
https://pub.uni-bielefeld.de/record/1776054
https://pub.uni-bielefeld.de/download/1776054/2312061
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01194570
info:eu-repo/semantics/altIdentifier/issn/0003-889X
info:eu-repo/semantics/altIdentifier/issn/1420-8938
info:eu-repo/semantics/altIdentifier/wos/A1988M346200007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776125
2018-07-24T12:59:01Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Good codes can be produced by a few permutations
Ahlswede, Rudolf
Dueck, Gunter
ddc:510
Ahlswede R, Dueck G. Good codes can be produced by a few permutations. <em>IEEE transactions on information theory</em>. 1982;28(3):430-443.
Our main result is that good codes, even those meeting the random coding bound, can be produced with relatively few (linear in the block length) permutations from a single codeword. This cutdown in complexity may be of practical importance. The motivation for looking at such codes came from Ahlswede's covering lemma, which makes it possible to build correlated source codes from channel codes via permutations. In Appendix I we show that the problem of finding the best error exponents for coding sources with full side information at the decoder, which has received attention in the recent literature, can easily be reduced to the familiar one for the discrete memoryless channel (DMC). Finally, in Appendices II and III we give rather precise double exponentially small bounds on the probabilities that a randomly chosen code will fail to meet the random coding or expurgated bound for the DMC. According to these results, good codes are hard to miss if selected at random. This also explains why good codes of a low complexity (such as those produced by permuations) do exist.
Institute of Electrical and Electronics Engineers (IEEE)
1982
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-10896
https://pub.uni-bielefeld.de/record/1776125
https://pub.uni-bielefeld.de/download/1776125/2312066
eng
info:eu-repo/semantics/altIdentifier/doi/10.1109/TIT.1982.1056514
info:eu-repo/semantics/altIdentifier/issn/0018-9448
info:eu-repo/semantics/altIdentifier/wos/A1982NN86500006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776171
2018-07-24T12:58:27Z
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The imbedding of special incidence structures: preliminary report
Graumann, Günter
ddc:510
Graumann G. The imbedding of special incidence structures: preliminary report. <em>Notices of the American Mathematical Society</em>. 1970;119:248.
American Mathematical Society (AMS)
1970
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11243
https://pub.uni-bielefeld.de/record/1776171
https://pub.uni-bielefeld.de/download/1776171/2312081
eng
info:eu-repo/semantics/altIdentifier/issn/1088-9477
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776172
2018-07-24T12:59:17Z
journal_article
doc-type:article
ddc:510
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Lernsequenzen zur Grundschulmathematik I: Bericht über einen Unterrichtsversuch im 3. Schuljahr
Graumann, Sigrid
Graumann, Günter
ddc:510
Graumann S, Graumann G. Lernsequenzen zur Grundschulmathematik I: Bericht über einen Unterrichtsversuch im 3. Schuljahr. <em>Westermanns Pädagogische Beiträge</em>. 1971;23(7):362-372.
Pädagog. Beiträge Verl.
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11255
https://pub.uni-bielefeld.de/record/1776172
https://pub.uni-bielefeld.de/download/1776172/2312082
deu
info:eu-repo/semantics/altIdentifier/issn/0043-3446
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776174
2018-07-24T12:58:05Z
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ddc:510
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Lernsequenzen zur Grundschulmathematik II: Fortsetzung des Berichts über einen Unterrichtsversuch im 3. Schuljahr
Graumann, Sigrid
Graumann, Günter
ddc:510
Graumann S, Graumann G. Lernsequenzen zur Grundschulmathematik II: Fortsetzung des Berichts über einen Unterrichtsversuch im 3. Schuljahr. <em>Westermanns Pädagogische Beiträge</em>. 1971;23(8):418-431.
Pädagog. Beiträge Verl.
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11264
https://pub.uni-bielefeld.de/record/1776174
https://pub.uni-bielefeld.de/download/1776174/2312083
deu
info:eu-repo/semantics/altIdentifier/issn/0043-3446
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776176
2018-07-24T12:58:27Z
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Zur Mengenbehandlung im 1. Schuljahr
Graumann, Sigrid
Graumann, Günter
ddc:510
Graumann S, Graumann G. Zur Mengenbehandlung im 1. Schuljahr. <em>Westermanns Pädagogische Beiträge</em>. 1972;24(5):279-282.
Pädagog. Beiträge Verl.
1972
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11271
https://pub.uni-bielefeld.de/record/1776176
https://pub.uni-bielefeld.de/download/1776176/2312084
deu
info:eu-repo/semantics/altIdentifier/issn/0043-3446
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776178
2018-07-24T12:59:35Z
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Praxisorientiertes Sachrechnen
Graumann, Günter
ddc:510
Graumann G. Praxisorientiertes Sachrechnen. In: <em>Beiträge zum Mathematikunterricht: 10. Bundestagung vom 30.3. bis 2.4.1976 in Augsburg</em>. Bad Salzdetfurth: Franzbecker; 1976: 79-83.
Franzbecker
1976
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11280
https://pub.uni-bielefeld.de/record/1776178
https://pub.uni-bielefeld.de/download/1776178/2312085
deu
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776179
2018-07-24T12:58:05Z
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Praxisorientierter Geometrieunterricht
Graumann, Günter
ddc:510
Graumann G. Praxisorientierter Geometrieunterricht. In: <em>Beiträge zum Mathematikunterricht: 11. Bundestagung vom 8.3. bis 11.3.1977 in Hamburg</em>. Bad Salzdetfurth: Franzbecker; 1977: 98-101.
Franzbecker
1977
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11290
https://pub.uni-bielefeld.de/record/1776179
https://pub.uni-bielefeld.de/download/1776179/2312086
deu
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776180
2018-07-24T12:59:35Z
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Inzidenzstrukturen mit Positivitätsbereich
Graumann, Günter
ddc:510
Graumann G. Inzidenzstrukturen mit Positivitätsbereich. <em>Beiträge zur Geometrie und Algebra</em>. 1979;5:1-25.
1979
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11302
https://pub.uni-bielefeld.de/record/1776180
https://pub.uni-bielefeld.de/download/1776180/2312087
deu
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776181
2018-07-24T12:58:05Z
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Mathematikunterricht und Freizeit: ein Beitrag zum praxisorientierten Ansatz
Graumann, Günter
ddc:510
Graumann G. Mathematikunterricht und Freizeit: ein Beitrag zum praxisorientierten Ansatz. In: <em>Beiträge zum Mathematikunterricht: 13. Bundestagung vom 6.3. bis 9.3.1979 in Freiburg</em>. Bad Salzdetfurth: Franzbecker; 1979: 142-145.
Franzbecker
1979
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11312
https://pub.uni-bielefeld.de/record/1776181
https://pub.uni-bielefeld.de/download/1776181/2312088
deu
info:eu-repo/semantics/altIdentifier/isbn/3-507-35015-7
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776182
2018-07-24T12:59:01Z
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Zur Terminologie von Ordnungsrelationen
Graumann, Günter
ddc:510
Graumann G. Zur Terminologie von Ordnungsrelationen. In: <em>Beiträge zum Mathematikunterricht: 13. Bundestagung vom 6.3. bis 9.3.1979 in Freiburg</em>. Bad Salzdetfurth: Franzbecker; 1979: 398.
Franzbecker
1979
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11322
https://pub.uni-bielefeld.de/record/1776182
https://pub.uni-bielefeld.de/download/1776182/2312089
deu
info:eu-repo/semantics/altIdentifier/isbn/3-507-35015-7
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776183
2018-07-24T12:58:27Z
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Über die Bedeutung der Geschichte der Mathematikpädagogik
Graumann, Günter
ddc:510
Graumann G. Über die Bedeutung der Geschichte der Mathematikpädagogik. In: <em>Beiträge zum Mathematikunterricht: 14. Bundestagung vom 4.3. bis 7.3.1980 in Dortmund</em>. Bad Salzdetfurth: Franzbecker; 1980: 114-117.
Franzbecker
1980
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11332
https://pub.uni-bielefeld.de/record/1776183
https://pub.uni-bielefeld.de/download/1776183/2312090
deu
info:eu-repo/semantics/altIdentifier/isbn/3-507-35016-5
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776184
2018-07-24T12:59:17Z
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Ästhetik: ein oft vergessener Aspekt des Mathematikunterrichts
Graumann, Günter
ddc:510
Graumann G. Ästhetik: ein oft vergessener Aspekt des Mathematikunterrichts. In: <em>Beiträge zum Mathematikunterricht: 15. Bundestagung vom 4.3. bis 7.3.1981 in Darmstadt</em>. Bad Salzdetfurth: Franzbecker; 1981: 32.
Franzbecker
1981
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11342
https://pub.uni-bielefeld.de/record/1776184
https://pub.uni-bielefeld.de/download/1776184/2312091
deu
info:eu-repo/semantics/altIdentifier/isbn/3-507-35017-3
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776185
2018-07-24T12:59:35Z
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Wesen und Aufgaben der Mathematikdidaktik und ihre Bedeutung in der Gesellschaft
Graumann, Günter
ddc:510
Graumann G. Wesen und Aufgaben der Mathematikdidaktik und ihre Bedeutung in der Gesellschaft. In: <em>Beiträge zum Mathematikunterricht: 17. Bundestagung vom 1.3. bis 4.3.1983 in Koblenz</em>. Bad Salzdetfurth: Franzbecker; 1983: 115-118.
Franzbecker
1983
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11352
https://pub.uni-bielefeld.de/record/1776185
https://pub.uni-bielefeld.de/download/1776185/2312092
deu
info:eu-repo/semantics/altIdentifier/isbn/3-88120-064-9
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776186
2018-07-24T12:58:05Z
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Was kann die Mathematik zum neuen Weltbild beitragen?
Graumann, Günter
ddc:510
Graumann G. Was kann die Mathematik zum neuen Weltbild beitragen? In: <em>Beiträge zum Mathematikunterricht: 18. Bundestagung vom 13.3. bis 16.3.1984 in Oldenburg</em>. Bad Salzdetfurth: Franzbecker; 1984: 126-129.
Franzbecker
1984
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11360
https://pub.uni-bielefeld.de/record/1776186
https://pub.uni-bielefeld.de/download/1776186/2312093
deu
info:eu-repo/semantics/altIdentifier/isbn/3-88120-074-6
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776187
2018-07-24T12:59:01Z
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Computerunterstützter Geometrieunterricht (CUGU)
Graumann, Günter
ddc:510
Graumann G. Computerunterstützter Geometrieunterricht (CUGU). In: <em>Beiträge zum Mathematikunterricht: 19. Bundestagung vom 5.3. bis 8.3.1985 in Giessen</em>. Bad Salzdetfurth: Franzbecker; 1985: 119-123.
Franzbecker
1985
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11377
https://pub.uni-bielefeld.de/record/1776187
https://pub.uni-bielefeld.de/download/1776187/2312094
deu
info:eu-repo/semantics/altIdentifier/isbn/3-88120-094-0
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776188
2018-07-24T12:58:27Z
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Funktionsmodelle zum Zeichnen von Ellipsen
Graumann, Günter
Siegert, Helmut
ddc:510
Graumann G, Siegert H. Funktionsmodelle zum Zeichnen von Ellipsen. In: <em>Beiträge zum Mathematikunterricht: 19. Bundestagung vom 5.3. bis 8.3.1985 in Giessen</em>. Bad Salzdetfurth: Franzbecker; 1985: 124-127.
Franzbecker
1985
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11385
https://pub.uni-bielefeld.de/record/1776188
https://pub.uni-bielefeld.de/download/1776188/2312095
deu
info:eu-repo/semantics/altIdentifier/isbn/3-88120-094-0
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776190
2019-05-10T12:50:19Z
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Computer and geometry teaching
Graumann, Günter
Finnish Association of Mathematics and Science Education Research
ddc:510
Graumann G. Computer and geometry teaching. In: Finnish Association of Mathematics and Science Education Research, ed. <em>Mathematics Education Research In Finland: yearbook, Finnish Association of Mathematics and Science Education Research</em>. Publication : B / Kasvatustieteiden Tutkimuslaitos (Jyväskylä). Vol 3. Jyväskylä; 1985: 61-79.
At the beginning of my article I wish to emphasize the relevance of geometry learning in education and present my conception of geometry teaching. Thereby I shall point out why I don't find the orientation not only in Euklid but also in modern axiomatism sensible. A conception of geometry teaching which suits the sense and structure of general school education must be directed both to the formation of geometric concepts which are combined with each other and based on experiences and also to pure mathematical of everyday problems. This conception is similar to those of the representatives of the genetic method. Following this explanation I want to mention the part that computers can take in my conception and how school reacts on the change in our computer society. First, in my opinion, a critical discussion with an extensive view is necessary and secondly, a qualified discussion of course needs and concrete experiences with applications of computers in selected fields. The application of computers in geometry is an example for this. In the second part of my article I want to show with examples on school geometry how computers can support and enliven geometry teaching and what kinds of objectives should be aimed at. I will complete these reflections with examples of programs in Basic and Pascal as well as some outputs of these. Finally I want to say some words about my experiences with university students.
1985
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
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https://nbn-resolving.org/urn:nbn:de:0070-bipr-11391
https://pub.uni-bielefeld.de/record/1776190
https://pub.uni-bielefeld.de/download/1776190/2312096
eng
info:eu-repo/semantics/altIdentifier/isbn/951-679-660-5
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776191
2018-07-24T12:59:17Z
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Eine genetische Einführung in die Trigonometrie
Graumann, Günter
ddc:510
Graumann G. Eine genetische Einführung in die Trigonometrie. In: <em>Beiträge zum Mathematikunterricht: 21. Bundestagung vom 10.3. bis 13.3.1987 in Wuppertal</em>. Bad Salzdetfurth: Franzbecker; 1987: 146-149.
Franzbecker
1987
http://purl.org/coar/resource_type/c_3248
info:eu-repo/semantics/bookPart
doc-type:bookPart
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11403
https://pub.uni-bielefeld.de/record/1776191
https://pub.uni-bielefeld.de/download/1776191/2312097
deu
info:eu-repo/semantics/altIdentifier/isbn/3-88120-174-2
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776192
2018-07-24T12:59:35Z
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Geometrie im Alltag
Graumann, Günter
ddc:510
Graumann G. Geometrie im Alltag. <em>Mathematik lehren</em>. 1988;29:8-14.
Im Mathematikunterricht soll nicht nur in mathematische Inhalte und Denkweisen eingeführt werden, sondern es soll auch die Relevanz von Mathematik im Alltag anhand von Anwendungen vermittelt werden. Diese Aufgabe, die sich leichter anhört als sie wirklich ist, betrifft auch den Geometrieunterricht. Geometrie darf in der Vorstellung der Schüler und Schülerinnen nicht nur aus dem Betrachten von Formen und dem Beweisen von Sätzen bestehen. Beim Stichwort "Geometrie" sollen auch "Assoziationen" mit "Häuserfassaden" oder "Lampenformen" oder "Öltanks" oder "Deicherhöhung" auftreten. Der folgende Absatz möchte dazu anregen, in verschiedenen Lebensbereichen nach Themen für die Verbindung von Geometrie und Alltag zu suchen und Lebenssituationen für die Unterrichtspraxis aufzuarbeiten.
Friedrich Verlag GmbH
1988
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11412
https://pub.uni-bielefeld.de/record/1776192
https://pub.uni-bielefeld.de/download/1776192/2312098
deu
info:eu-repo/semantics/altIdentifier/issn/0175-2235
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776193
2018-07-24T12:58:05Z
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Platonische Parkettierungen und Platonische Körper: ein Thema des Mathematikunterrichts der Sekundarstufe I
Graumann, Günter
ddc:510
Graumann G. Platonische Parkettierungen und Platonische Körper: ein Thema des Mathematikunterrichts der Sekundarstufe I. <em>Mathematik lehren</em>. 1993;4:64-69.
Die Beschäftigung mit regelmäßigen Vielecken unter dem Aspekt der Konstruktion von regelmäßigen (platonischen) Parkettierungen und Körpern liefert Einsichten in mathematische Denkweisen, Möglichkeiten der Klärung einer Reihe von Begriffen, Anlässe für das Training von Problemlösefähigkeiten, Bezüge zur Fähigkeit, Zusammenhänge zu erkennen, Situationen zum Üben in Raumanschauung und Material für die Ausbildung zeichnerischer Fertigkeiten sowie Ansatzpunkte für die Erschließung der Umwelt. Außerdem können bei diesem Thema historische und ästhetische Aspekte gut integriert werden.
Friedrich Verlag GmbH
1993
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11425
https://pub.uni-bielefeld.de/record/1776193
https://pub.uni-bielefeld.de/download/1776193/2312099
deu
info:eu-repo/semantics/altIdentifier/issn/0175-2235
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776194
2018-07-24T12:59:01Z
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Mathematikunterricht und Allgemeinbildung: mit Blick auf Schlüsselprobleme unserer Welt
Graumann, Günter
ddc:510
Graumann G. Mathematikunterricht und Allgemeinbildung: mit Blick auf Schlüsselprobleme unserer Welt. <em>Mathematik in der Schule</em>. 1994;32(1):1-7.
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11432
https://pub.uni-bielefeld.de/record/1776194
https://pub.uni-bielefeld.de/download/1776194/2312100
deu
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776195
2019-07-12T13:33:30Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Minimale Gerschgorin-Kreise
Elsner, Ludwig
ddc:510
Elsner L. Minimale Gerschgorin-Kreise. <em>Zeitschrift für angewandte Mathematik und Mechanik</em>. 1968;48(1):51-55.
The theory of minimal Gerschgorin-disks is generalized to the case of some disks with the same center which can be separated from the others. As in the case of one disk we get the result, that the minimal Gerschgorin-radius Lambda 0 is an eigenvalue of a certain matrix. The results can be used to obtain error bounds of the Jacobi-method, if the eigenvalues are clustered. Sufficient conditions for
Die Theorie minimaler Gerschgorin-Kreise wird auf den Fall erweitert, da mehrere Kreise mit gleichem Mittelpunkt von den übrigen getrennt werden können. Wie im Falle eines Kreises ergibt sich auch hier, da der kleinste Gerschgorin-Radius Lambda 0 Eigenwert einer gewissen Matrix ist. Die Resultate können zur Fehlerabschätzung beim Jacobi-Verfahren bei gehäuften Eigenwerten benutzt werden. Hinreichende Kriterien für die Trennbarkeit, die Porsching angegeben hat, sind auf diesen Fall übertragbar.
Wiley
1968
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17761953
https://pub.uni-bielefeld.de/record/1776195
https://pub.uni-bielefeld.de/download/1776195/2312101
deu
info:eu-repo/semantics/altIdentifier/doi/10.1002/zamm.19680480107
info:eu-repo/semantics/altIdentifier/issn/0044-2267
info:eu-repo/semantics/altIdentifier/issn/1521-4001
info:eu-repo/semantics/altIdentifier/wos/A1968A715700006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776197
2019-07-12T13:34:12Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Bemerkungen zum Zeilensummenkriterium
Elsner, Ludwig
ddc:510
Elsner L. Bemerkungen zum Zeilensummenkriterium. <em>Zeitschrift für angewandte Mathematik und Mechanik</em>. 1969;49(1-2):97.
Wiley
1969
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17761971
https://pub.uni-bielefeld.de/record/1776197
https://pub.uni-bielefeld.de/download/1776197/2312102
deu
info:eu-repo/semantics/altIdentifier/doi/10.1002/zamm.19690490117
info:eu-repo/semantics/altIdentifier/issn/0044-2267
info:eu-repo/semantics/altIdentifier/issn/1521-4001
info:eu-repo/semantics/altIdentifier/wos/A1969C812200016
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776199
2019-07-12T13:34:29Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Über Eigenwerteinschließungen mit Hilfe von Gerschgorin-Kreisen
Elsner, Ludwig
ddc:510
Elsner L. Über Eigenwerteinschließungen mit Hilfe von Gerschgorin-Kreisen. <em>Zeitschrift für angewandte Mathematik und Mechanik</em>. 1970;50(6):381-384.
Let the union of some Gerschgorin-disks of a matrix A be separated from the other disks by a circle of radius r and center Gamma. Medley and Varga have characterized the minimal r, which can be achieved by diagonal transformations of A and fixed Gamma. It is shown that this result can easily be proved with methods used in an earlier paper of the author. In addition, the maximal radius is characterized, easily computable bounds are given and it is shown, that A and the transposed matrix AT have the same optimal radii.
Die Vereinigung gewisser Gerschgorin-Kreise einer Matrix A sei durch einen Kreis vom Radius r und Mittelpunkt Gamma von den übrigen Gerschgorin-Kreisen getrennt. Medley und Varga haben das minimale r, das bei festem Gamma durch Diagonaltransformationen von A erreicht werden kann, charakterisiert. Es wird gezeigt, daß dieses Ergebnis mit den in einer früheren Arbeit des Autors benutzten Methoden leicht bewiesen werden kann. Außerdem wird der maximale Radius charakterisiert, praktisch verwendbare Abschätzungen angegeben und gezeigt, daß A und die transponierte Matrix AT die gleichen optimalen Radien haben.
Wiley
1970
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17761990
https://pub.uni-bielefeld.de/record/1776199
https://pub.uni-bielefeld.de/download/1776199/2312103
deu
info:eu-repo/semantics/altIdentifier/doi/10.1002/zamm.19700500608
info:eu-repo/semantics/altIdentifier/issn/0044-2267
info:eu-repo/semantics/altIdentifier/issn/1521-4001
info:eu-repo/semantics/altIdentifier/wos/A1970G985800007
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776201
2019-07-12T13:34:58Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Eigenwerteinschließung mit Lorentzkegeln
Hadeler, Karl Peter
Elsner, Ludwig
ddc:510
Hadeler KP, Elsner L. Eigenwerteinschließung mit Lorentzkegeln. <em>Zeitschrift für angewandte Mathematik und Mechanik</em>. 1970;50(6):427-429.
Wiley
1970
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17762018
https://pub.uni-bielefeld.de/record/1776201
https://pub.uni-bielefeld.de/download/1776201/2312104
deu
info:eu-repo/semantics/altIdentifier/doi/10.1002/zamm.19700500617
info:eu-repo/semantics/altIdentifier/issn/0044-2267
info:eu-repo/semantics/altIdentifier/issn/1521-4001
info:eu-repo/semantics/altIdentifier/wos/A1970G985800016
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776204
2019-07-12T13:36:22Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Bemerkung zur Eigenwertabschätzung bei gestörten Diagonalmatrizen
Elsner, Ludwig
ddc:510
Elsner L. Bemerkung zur Eigenwertabschätzung bei gestörten Diagonalmatrizen. <em>Zeitschrift für angewandte Mathematik und Mechanik</em>. 1971;51(7):570.
Wiley
1971
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17762049
https://pub.uni-bielefeld.de/record/1776204
https://pub.uni-bielefeld.de/download/1776204/2312105
deu
info:eu-repo/semantics/altIdentifier/doi/10.1002/zamm.19710510715
info:eu-repo/semantics/altIdentifier/issn/0044-2267
info:eu-repo/semantics/altIdentifier/issn/1521-4001
info:eu-repo/semantics/altIdentifier/wos/A1971L051600015
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776206
2019-07-12T13:39:29Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Über Birkhoff-Interpolation und Richardson-Extrapolation
Elsner, Ludwig
ddc:510
Elsner L. Über Birkhoff-Interpolation und Richardson-Extrapolation. <em>Zeitschrift für angewandte Mathematik und Mechanik</em>. 1973;53(1):57-60.
Extending papers of Pólya and Schoenberg we get a remainder theorem for the quasi hermitian interpolation problem. Since extrapolation for discretization methods can be viewed as such a problem we can deduce some remainder formulas for extrapolation methods.
In Erweiterung von Arbeiten von Pólya und Schoenberg wird eine Restglieddarstellung für die quasihermitesche Interpolationsaufgabe gewonnen. Da die Extrapolation bei Diskretisierungsverfahren als eine solche Aufgabe gedeutet werden kann, gelingt auf diesem Wege die Herleitung einiger Fehlerdarstellungen bei Extrapolationsaufgaben.
Wiley
1973
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17762067
https://pub.uni-bielefeld.de/record/1776206
https://pub.uni-bielefeld.de/download/1776206/2312106
deu
info:eu-repo/semantics/altIdentifier/doi/10.1002/zamm.19730530107
info:eu-repo/semantics/altIdentifier/issn/0044-2267
info:eu-repo/semantics/altIdentifier/issn/1521-4001
info:eu-repo/semantics/altIdentifier/wos/A1973P116200006
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776208
2018-07-24T12:58:28Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
On a generalized matching problem arising in estimating the eigenvalue variation of two matrices
Elsner, Ludwig
Johnson, Charles R.
Ross, J. A.
Schönheim, J.
ddc:510
Elsner L, Johnson CR, Ross JA, Schönheim J. On a generalized matching problem arising in estimating the eigenvalue variation of two matrices. <em>European Journal of Combinatorics</em>. 1983;4:133-136.
Elsevier BV
1983
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11504
https://pub.uni-bielefeld.de/record/1776208
https://pub.uni-bielefeld.de/download/1776208/2312107
eng
info:eu-repo/semantics/altIdentifier/issn/0195-6698
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776212
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Self-equivalent flows associated with the singular value decomposition
Watkins, David S.
Elsner, Ludwig
Society for Industrial and Applied Mathematics
Singular value decomposition
QR algorithm
Flow
Unitary equivalence
ddc:510
Watkins DS, Elsner L. Self-equivalent flows associated with the singular value decomposition. <em>SIAM Journal on matrix analysis and applications</em>. 1989;10(2):244-258.
Society for Industrial & Applied Mathematics (SIAM)
1989
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11513
https://pub.uni-bielefeld.de/record/1776212
https://pub.uni-bielefeld.de/download/1776212/2312108
eng
info:eu-repo/semantics/altIdentifier/doi/10.1137/0610019
info:eu-repo/semantics/altIdentifier/issn/0895-4798
info:eu-repo/semantics/altIdentifier/issn/1095-7162
info:eu-repo/semantics/altIdentifier/isbn/0196-5212; 0895-4798
info:eu-repo/semantics/altIdentifier/wos/A1989U099800010
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776214
2019-07-12T14:16:03Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
On Rutishauser's approach to self-similar flows
Watkins, David S.
Elsner, Ludwig
LR algorithm
Quotient-difference algorithm
Self-similar flow
Toda flow
QR algorithm
ddc:510
Watkins DS, Elsner L. On Rutishauser's approach to self-similar flows. <em>SIAM Journal on matrix analysis and applications</em>. 1990;11(2):301-311.
Certain variants of the Toda flow are continuous analogues of the QR algorithm and other algorithms for calculating eigenvalues of matrices. This was a remarkable discovery of the early eighties. Until very recently contemporary researchers studying this circle of ideas have been unaware that continuous analogues of the quotient- difference and LR algorithms were already known to Rutishauser in the fifties. Rutishauser's continuous analogue of the quotient- difference algorithm contains the finite, nonperiodic Toda flow as a special case. A nice feature of Rutishauser's approach is that it leads from the (discrete) eigenvalue algorithm to the (continuous) flow by a limitting process. Thus the connection between the algorithm and the flow does not come as a surprise. In this paper it is shown how Rutishauser's approach can be generalized to yield large families of flows in a natural manner. The flows derived include continuous analogues of the LR, QR, SR, and HR algorithms.
Society for Industrial & Applied Mathematics (SIAM)
1990
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17762147
https://pub.uni-bielefeld.de/record/1776214
https://pub.uni-bielefeld.de/download/1776214/2312109
eng
info:eu-repo/semantics/altIdentifier/doi/10.1137/0611020
info:eu-repo/semantics/altIdentifier/issn/0895-4798
info:eu-repo/semantics/altIdentifier/issn/1095-7162
info:eu-repo/semantics/altIdentifier/wos/A1990CX24800010
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776217
2019-07-12T14:18:42Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Chasing Algorithmus for the Eigenvalue Problem
Watkins, David S.
Elsner, Ludwig
Subspace iteration
Chasing the bulge
GR algorithm
QR algorithm
Eeigenvalue
ddc:510
Watkins DS, Elsner L. Chasing Algorithmus for the Eigenvalue Problem. <em>SIAM Journal on matrix analysis and applications</em>. 1991;12(2):374-384.
A generic chasing algorithm for the matrix eigenvalue problem is introduced and studied. This algorithm includes, as special cases, the implicit, multiple-step QR and LR algorithms and similar bulge-chasing algorithms for the standard eigenvalue problem. The scope of the generic chasing algorithm is quite broad; it encompasses a number of chasing algorithms that cannot be analyzed by the traditional (e.g., implicit Q theorem) approach. These include the LR algorithm with partial pivoting and other chasing algorithms that employ pivoting for stability, as well as hybrid algorithms that combine elements of the LR and QR algorithms. The main result is that each step of the generic chasing algorithm amounts to one step of the generic GR algorithm. Therefore the convergence theorems for GR algorithms that were proven in a previous work [D. S. Watkins and L. Elsner, Linear Algebra Appl., 143 (1991), pp. 19–47] also apply to the generic chasing algorithm.
Society for Industrial & Applied Mathematics (SIAM)
1991
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17762179
https://pub.uni-bielefeld.de/record/1776217
https://pub.uni-bielefeld.de/download/1776217/2312110
eng
info:eu-repo/semantics/altIdentifier/doi/10.1137/0612027
info:eu-repo/semantics/altIdentifier/issn/0895-4798
info:eu-repo/semantics/altIdentifier/issn/1095-7162
info:eu-repo/semantics/altIdentifier/wos/A1991FD74100013
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776220
2018-07-24T12:58:05Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Symmetries and variation of spectra
Bhatia, Rajendra
Elsner, Ludwig
HAMILTONIAN
CARROLLIAN SPECTRA
EIGENVALUES
MATRICES
SPECTRAL VARIATION
ddc:510
Bhatia R, Elsner L. Symmetries and variation of spectra. <em>Canadian journal of mathematics</em>. 1992;44(6):1155-1166.
An interesting class of matrices is shown to have the property that the spectrum of each of its elements is invariant under multiplication by p-th roots of unity. For this class and tor a class of Hamiltonian matrices improved spectral variation bounds are obtained.
Canadian Mathematical Society
1992
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11548
https://pub.uni-bielefeld.de/record/1776220
https://pub.uni-bielefeld.de/download/1776220/2312111
eng
info:eu-repo/semantics/altIdentifier/doi/10.4153/CJM-1992-069-3
info:eu-repo/semantics/altIdentifier/issn/0008-414X
info:eu-repo/semantics/altIdentifier/issn/1496-4279
info:eu-repo/semantics/altIdentifier/wos/A1992KB80000002
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776222
2018-07-24T12:58:28Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
The q-binomial theorem and spectral symmetry
Bhatia, Rajendra
Elsner, Ludwig
ddc:510
Bhatia R, Elsner L. The q-binomial theorem and spectral symmetry. <em>Indagationes mathematicae</em>. 1993;4(1):11-16.
In various contexts, several mathematicians have discovered a binomial theorem of the following form: Let T1,T2 be complex matrices such that T2T1 = qT1T2. Then (T1 + T2)n = SIGMA(k = 0)n alpha(n,k)(q)T1(k)T2n-k and the polynomials alpha(n,k)(q) are given explicitly. We describe an application of this result in our work on matrices whose eigenvalues have certain symmetries.
Elsevier BV
1993
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17762228
https://pub.uni-bielefeld.de/record/1776222
https://pub.uni-bielefeld.de/download/1776222/2312112
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0019-3577(93)90047-3
info:eu-repo/semantics/altIdentifier/issn/0019-3577
info:eu-repo/semantics/altIdentifier/wos/A1993KW95200002
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776225
2018-07-24T12:58:05Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
On accurate computations of the Perron root
Elsner, Ludwig
Koltracht, Israel
Neumann, Michael
Xiao, D.
Nonnegative matrices
Componentwise perturbations
Perron root
Stable algorithms
Backward error
Sparse systems
ddc:510
Elsner L, Koltracht I, Neumann M, Xiao D. On accurate computations of the Perron root. <em>SIAM Journal on matrix analysis and applications</em>. 1993;14(2):456-467.
This paper establishes a new componentwise perturbation result for the Perron root of a non-negative and irreducible matrix. The error bound is independent of the angle between left and right Perron eigenvectors. It is shown that a known inverse iteration algorithm with new stopping criteria will have a small componentwise backward error, which is consistent with the perturbation result. Numerical experiments demonstrate that the accuracy of the Perron root computed by the proposed algorithm is, indeed, independent of the angle.
Society for Industrial & Applied Mathematics (SIAM)
1993
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17762255
https://pub.uni-bielefeld.de/record/1776225
https://pub.uni-bielefeld.de/download/1776225/2312113
eng
info:eu-repo/semantics/altIdentifier/doi/10.1137/0614032
info:eu-repo/semantics/altIdentifier/issn/0895-4798
info:eu-repo/semantics/altIdentifier/issn/1095-7162
info:eu-repo/semantics/altIdentifier/wos/A1993KW04300010
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776231
2018-07-24T12:59:35Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Theory of decomposition and bulge-chasing algorithms for the generalized eigenvalue problem
Watkins, David S.
Elsner, Ludwig
Generalized eigenvalue problem
GZ algorithm
QZ algorithm
Chasing the bulge
ddc:510
Watkins DS, Elsner L. Theory of decomposition and bulge-chasing algorithms for the generalized eigenvalue problem. <em>SIAM Journal on matrix analysis and applications</em>. 1994;15(3):943-967.
A generic GZ algorithm for the generalized eigenvalue problem Ax = lambdaBx is presented. This is actually a large class of algorithms that includes multiple-step QZ and LZ algorithms, as well as QZ-LZ hybrids, as special cases. First the convergence properties of the GZ algorithm are discussed, then a study of implementations is undertaken. The notion of an elimination rule is introduced as a device for studying the QZ, LZ and other algorithms simultaneously. To each elimination rule there corresponds an explicit GZ algorithm. Through a careful study of the steps involved in executing the explicit algorithm, it is discovered how to implement the algorithm implicitly by bulge chasing. The approach taken here was introduced by Miminis and Paige in the context of the QR algorithm for the ordinary eigenvalue problem. It is more involved than the standard approach, but it yields a much clearer picture of the relationship between the implicit and explicit versions of the algorithm. Furthermore, it is more general than the standard approach, as it does not require the use of a theorem of ''Implicit-Q'' type. Finally a generalization of the implicit GZ algorithm, the generic bulge-chasing algorithm, is introduced. It is proved that the generic bulge-chasing algorithm implicitly performs iterations of the generic GZ algorithm. Thus the convergence theorems that are proved for the generic GZ algorithm hold for the generic bulge-chasing algorithm as well.
Society for Industrial & Applied Mathematics (SIAM)
1994
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-pub-17762311
https://pub.uni-bielefeld.de/record/1776231
https://pub.uni-bielefeld.de/download/1776231/2312115
eng
info:eu-repo/semantics/altIdentifier/doi/10.1137/S089547989122377X
info:eu-repo/semantics/altIdentifier/issn/0895-4798
info:eu-repo/semantics/altIdentifier/issn/1095-7162
info:eu-repo/semantics/altIdentifier/wos/A1994NW00800016
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776234
2018-07-24T12:58:28Z
journal_article
doc-type:article
ddc:510
journal_articleFtxt
open_access
Variation of the discrete eigenvalues of normal operators
Elsner, Ludwig
Friedland, Shmuel
ddc:510
Elsner L, Friedland S. Variation of the discrete eigenvalues of normal operators. <em>Proceedings of the American Mathematical Society</em>. 1995;123(8):2511-2517.
The Hoffman-Wielandt inequality, which gives a bound for the distance between the spectra of two normal matrices, is generalized to normal operators A, B on a separable Hilbert space, such that A - B is Hilbert-Schmidt.
JSTOR
1995
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
doc-type:article
text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11593
https://pub.uni-bielefeld.de/record/1776234
https://pub.uni-bielefeld.de/download/1776234/2312116
eng
info:eu-repo/semantics/altIdentifier/doi/10.2307/2161282
info:eu-repo/semantics/altIdentifier/issn/0002-9939
info:eu-repo/semantics/altIdentifier/wos/A1995RP15100032
info:eu-repo/semantics/openAccess
https://rightsstatements.org/vocab/InC/1.0/
oai:pub.uni-bielefeld.de:1776236
2020-07-22T13:20:51Z
conference
doc-type:conferenceObject
ddc:510
conferenceFtxt
open_access
The braid group action on the set of exceptional sequences of a hereditary artin algebra
Ringel, Claus Michael
Göbel, Rüdiger
ddc:510
Ringel CM. The braid group action on the set of exceptional sequences of a hereditary artin algebra. In: Göbel R, ed. <em>Abelian group theory and related topics: Conference on Abelian Groups, August 1 - 7, 1993, Oberwolfach, Germany</em>. Contemporary mathematics. Vol 171. Providence, RI: American Mathematical Soc.; 1994: 339-352.
Let A be a hereditary artin algebra with s = s(A) simple modules. The indecomposable A-modules without self-extensions are of great importance, they may be called complete exceptional sequences. Certain sequences (X1,..., X3) consisting of exceptional modules will be called complete exceptional sequences. Crawley-Boevey has pointed out that the braid group on s-1 generators acts naturally on the set of complete exceptional sequences. In case A is finite-dimensional over an algebraically closed field, he has shown that this action is transitive, using a recnet result by Schofield. We are going to present a direct proof which is valid for arbitrary hereditary artin algebras. It follows that the endomorphism rings of exceptional modules are just those rings which occur as endomorphism rings of the simple modules. Also, we will exhibit the relationship between complete exceptional sequences and tilting modules.
American Mathematical Soc.
1994
http://purl.org/coar/resource_type/c_5794
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text
https://nbn-resolving.org/urn:nbn:de:0070-bipr-11613
https://pub.uni-bielefeld.de/record/1776236
https://pub.uni-bielefeld.de/download/1776236/2312117
eng
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