Elementary matrix reduction over Bézout domains

DOI10.1142/S021949881950141XzbMath1453.16028OpenAlexW2963806506MaRDI QIDQ5230107

Huanyin Chen, Marjan Sheibani Abdolyousefi

Publication date: 20 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949881950141x

zbMATH Keywords

Bézout domainelementary matrix reductionGelfand rangelocally stable domain

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Canonical forms, reductions, classification (15A21)

Cites Work

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• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Quasi-duo rings and stable range descent.
• Bézout rings with almost stable range 1
• Distributive elementary divisor domains
• The Kaplansky condition and rings of almost stable range 1
• Finite homomorphic images of Bezout duo-domains
• Some Remarks About Elementary Divisor Rings
• On pm-rings
• Diagonal matrix reduction over Hermite rings
• Conditions for stable range of an elementary divisor rings
• On feckly clean rings
• Elementary Divisors and Modules

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