Unit-Regularity and Stable Range Conditions

DOI10.1081/AGB-200063337zbMath1093.16003OpenAlexW2024280587MaRDI QIDQ5466666

Jiaqun Wei

Publication date: 25 August 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200063337

zbMATH Keywords

unitsidempotentsregular elementsexchange ringsunit-regular ringsstable range one

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stable range conditions (19B10)

Related Items (2)

On internally cancellable rings ⋮ Characterizations and Direct Sums of Unit-Endoregular Modules

Cites Work

• Stable range one for rings with many units
• Separative cancellation for projective modules over exchange rings
• Completion of diagrams by automorphisms and Bass' first stable range condition
• Exchange rings and decompositions of modules
• Power cancellation for artinian modules
• Strongly 𝜋-regular rings have stable range one
• On the stable range condition of exchange rings
• On stable range conditions
• Power-substitution,exchange rings and unit II-regularity
• Stable Range One for Rings with many Idempotents

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