On interdependence between invariant factors of a block-triangular matrix and its diagonal blocks

DOI10.1134/S0001434611090276zbMath1283.15038OpenAlexW1982621592MaRDI QIDQ2435806

V. P. Shchedryk

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611090276

zbMATH Keywords

ringprincipal idealcanonical diagonal form of a matrixGCD of the minors of a matrixgroup \(\mathrm{GL}_t(R)\)invariant factors of a block-triangular matrix

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Cites Work

• A local approach to matrix equivalence
• Roth's theorems over commutative rings
• On Roth's pseudo equivalence over rings
• Equivalence of partitioned matrices
• The Smith normal form of a partitioned matrix
• Elementary Divisors and Modules
• The Equations AX - YB = C and AX - XB = C in Matrices

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