Sweeping-similarity of matrices

DOI10.1016/0024-3795(86)90182-5zbMath0585.15001OpenAlexW1974978044MaRDI QIDQ1071087

Lee Klingler, Lawrence S. Levy

Publication date: 1986

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90182-5

zbMATH Keywords

invariantsKrull-Schmidt theoremcanonical formmatrix similaritycompanion matricesmatrix equivalenceblock-cycle system

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (9)

On the Complexity of Isomorphism Problems for Tensors, Groups, and Polynomials I: Tensor Isomorphism-Completeness ⋮ Block rigid almost completely decomposable groups and lattices over multiple pullback rings ⋮ Dynamic feedback over commutative rings ⋮ Almost split sequences for dedekind-like rings. II ⋮ Simple vector bundles on plane degenerations of an elliptic curve ⋮ THE FINITE LENGTH MODULES FOR THIN -GRADED RINGS ⋮ Block conjugacy of irreducible toral automorphisms ⋮ Invariance of simultaneous similarity and equivalence of matrices under extension of the ground field ⋮ Poset block equivalence of integral matrices

Cites Work

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• Modules over Dedekind-like rings
• Matrix problems and categories of matrices
• Application of modules over a dyad for the classification of finite \(p\)-groups possessing an Abelian subgroup of index \(p\) and of pairs of mutually annihilating operators
• Mixed modules over ZG, G cyclic of prime order, and over related Dedekind pullbacks
• Modules over the integral group ring of a nonabelian group of order 𝑝𝑞

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