Reduction of matrices over simple Ore domains

Victor Bovdi, Bohdan Zabavsky

Research output: Contribution to journalArticlepeer-review

Abstract

We study the theory of diagonal reductions of matrices over simple Ore domains of finite stable range. We cover the cases of 2-simple rings of stable range 1, Ore domains and certain cases of Bezout domains.

Original languageEnglish
Pages (from-to)642-649
Number of pages8
JournalLinear and Multilinear Algebra
Volume70
Issue number4
DOIs
Publication statusPublished - 2022

Keywords

  • Bézout domain
  • Ore domain
  • diagonal reduction of a matrix
  • n-simple ring
  • stable range
  • unit-regular ring

ASJC Scopus subject areas

  • Algebra and Number Theory

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