Elementary matrix reduction over J-stable rings

DOI10.1080/00927872.2016.1226874zbMath1369.13029arXiv1412.5714OpenAlexW2964087023MaRDI QIDQ5274705

Huanyin Chen, Marjan Sheibani Abdolyousefi

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5714

zbMATH Keywords

Bézout ringelementary divisor ring\(\mathrm{J}\)-stable ringadequate condition

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (1)

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Cites Work

• Unnamed Item
• Neat rings
• Stable range and almost stable range
• Every zero adequate ring is an exchange ring
• Generalized adequate rings
• Bézout rings with almost stable range 1
• Some results on completability in commutative rings
• Rings whose elements are quasi-regular or regular
• The Kaplansky condition and rings of almost stable range 1
• On PM-rings, rings of finite character and h-local rings

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