On the stable range condition of exchange rings

DOI10.1080/00927879708825995zbMath0887.16006OpenAlexW1965014670MaRDI QIDQ4351140

Xu Yonghua, Tong Suo Wu

Publication date: 19 March 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708825995

zbMATH Keywords

endomorphism ringsfinitely generated projective modulesexchange ringsvon Neumann regular ringsstable rangedirect sum decompositionsexchange propertiescancellation properties

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) 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 (9)

Unimodular Regularity, Stable Range, and Exchange Rings ⋮ On graphs related to comaximal ideals of a commutative ring ⋮ Unnamed Item ⋮ On the stable range of endomorphism rings of quasi-projective modules ⋮ REGULAR RINGS WITH FINITE STABLE RANGE ⋮ A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE ⋮ The power-substitution condition of endomorphism rings of quasi-projective modules ⋮ Unit-Regularity and Stable Range Conditions ⋮ On stable range conditions

Cites Work

• Unnamed Item
• On rings whose projective modules have the exchange property
• On regular rings with stable range 2
• Finitely generated projective modules over exchange rings
• Exchange rings and decompositions of modules
• Stable rank of rings and dimensionality of topological spaces
• Strongly 𝜋-regular rings have stable range one
• Stable Range One for Rings with many Idempotents

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