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Title: Diagonal similarity and equivalence for matrices over groups with 0 (English)
Author: Engel, Gernot M.
Author: Schneider, Hans
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 25
Issue: 3
Year: 1975
Pages: 389-403
Summary lang: English
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Category: math
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MSC: 15A21
idZBL: Zbl 0329.15007
idMR: MR0396615
DOI: 10.21136/CMJ.1975.101334
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Date available: 2008-06-09T14:13:42Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101334
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Reference: [1] S. N. Afriat: The system of inequalities $a\sb{rs} > X\sb{s} - X\sb{r}$.Proc. Cambridge Phi. Soc. 59 (1963), 125-133. MR 0141674
Reference: [2] S. N. Afriat: On sum-symmetric matrices.Lin. Alg. & Apps. (to appear). Zbl 0281.15017
Reference: [3] G. M. Engel H. Schneider: Cyclic and diagonal products on a matrix.Lin. Alg. & Apps. 7 (1973), 301-335. MR 0323804, 10.1016/S0024-3795(73)80003-5
Reference: [4] M. Fiedler V. Pták: Diagonally dominant matrices.Czech. Math. J. 17 (92) (1967), 420-433. MR 0215869
Reference: [5] L. Fuchs: Partially ordered algebraic systems.Addison-Wesley 1963. Zbl 0137.02001, MR 0171864
Reference: [6] G. Lallement M. Petrich: Some results concerning completely 0-simple semigroups.Bull. American Math. Soc, 70 (1964), 777-778. MR 0172951, 10.1090/S0002-9904-1964-11235-0
Reference: [7] G. Lallement M. Petrich: Décompositions I-matricielles d'un semi-groupe.J. de Math. Pure et App. 131 (1966), 67-118. MR 0197600
Reference: [8] R. Sinkhorn P. Knopp: Problems concerning diagonal products in nonnegative matrices.Trans. American Math. Soc. 136 (1969), 67-75. MR 0233830, 10.1090/S0002-9947-1969-0233830-7
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