Similarity of matrices over Artinian principal ideal rings

DOI10.1016/0024-3795(78)90039-3zbMath0382.15009OpenAlexW2082136490WikidataQ126400250 ScholiaQ126400250MaRDI QIDQ1248015

B. R. McDonald

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0024-3795(78)90039-3

Mathematics Subject Classification ID

Principal ideal rings (13F10) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Canonical forms, reductions, classification (15A21)

Related Items (9)

Matrix zeros of quadratic equations ⋮ Similarity classes for nilpotent operators over Dedekind domains ⋮ Similarity of matrices over local rings ⋮ On the integral ideals of \(R[X\) when \(R\) is a special principal ideal ring] ⋮ Similarity of matrices over commutative rings ⋮ ABELIAN -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES ⋮ Globally analytic triangularization of a matrix function ⋮ Finite Rings with Applications ⋮ Similarity of matrices over a commutative Artinian local ring

Cites Work

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• Simple subrings of matrix rings over finite fields
• Completely primary rings. II. Algebric and transcendental extensions
• Completely primary rings. IV. Chain conditions
• Concerning matrices with elements in a commutative ring
• Completely primary rings. I

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