An isomorphism criterion for modules over a principal ideal domain

DOI10.1080/03081087908817299zbMath0432.13009OpenAlexW2002927820MaRDI QIDQ3869445

John D. Dixon

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/03081087908817299

zbMATH Keywords

principal ideal domaincomposition lengthsmodules of finite compositionsimilarity of two matrices

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Canonical forms, reductions, classification (15A21)

Related Items

How to check whether given square matrices are congruent ⋮ An \(NC^ 2\) algorithm for testing similarity of matrices ⋮ Square roots of Hermitian matrices and a rational algorithm for checking their congruence ⋮ On matrix similarity over commutative rings

Cites Work

• Unnamed Item
• Characteristic free, improved decidability criteria for the similarity problem
• Algebraic Transformation Groups and the Similarity Problem

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