On interdependence between invariant factors of a block-triangular matrix and its diagonal blocks
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Published:2011-09
Issue:3-4
Volume:90
Page:584-596
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ISSN:0001-4346
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Container-title:Mathematical Notes
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language:en
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Short-container-title:Math Notes
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference7 articles.
1. W. E. Roth, “The equation AX − YB = C and AX − XB = C in matrices,” Proc. Amer. Math. Soc. 3(3), 392–396 (1952).
2. R. B. Feinberg, “Equivalence of partitioned matrices,” J. Res. Nat. Bur. Standards Sec. B 80, 89–97 (1976).
3. W. H. Gustafson, “Roth’s theorem over commutative rings,” Linear Algebra Appl. 23, 245–251 (1979).
4. R. E. Hartwig and P. Patricio, “On Roth’s pseudoequivalence over rings,” Electron. J. Linear Algebra 16, 111–124 (2007).
5. I. Kaplansky, “Elementary divisor ring and modules,” Trans. Amer. Math. Soc. 66, 464–491 (1949).
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