Reduction of matrices over simple Ore domains

DOI10.1080/03081087.2020.1743632zbMath1490.15016arXiv1908.04545OpenAlexW3012292393MaRDI QIDQ5064502

B. V. Zabavs'kyj, Victor A. Bovdi

Publication date: 16 March 2022

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

Full work available at URL: https://arxiv.org/abs/1908.04545

zbMATH Keywords

stable rangeBézout domainsimple ringOre domainunit-regular ringdiagonal reduction of a matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Ore rings, multiplicative sets, Ore localization (16U20) Diagonalization, Jordan forms (15A20)

Related Items (1)

Generating solutions of a linear equation and structure of elements of the Zelisko group II

Cites Work

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• Matrices and pairs of modules
• Commutative Bézout domains of stable range 1.5
• Bézout rings with almost stable range 1
• On a class of regular rings that are elementary divisor rings
• Two Examples of Principal Ideal Domains
• Right Principal Bezout Domains
• Elementary Divisors and Modules
• Rings and modules of quotients

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