Regular Rings Satisfying Generalized Almost Comparability

DOI10.1080/00927870802116513zbMath1202.16012OpenAlexW2126527846MaRDI QIDQ3638410

Mamoru Kutami

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802116513

zbMATH Keywords

projective modulesvon Neumann regular ringsdirectly finite regular ringsstrict unperforationstrict cancellationgeneralized almost comparabilitydirectly infinite regular rings

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• \(K_0\) of purely infinite simple regular rings
• Simple regular rings satisfying weak comparability
• Separative cancellation for projective modules over exchange rings
• \(K\)-theoretically simple von Neumann regular rings
• Cancellation of projective modules over regular rings with comparability
• The structure of countably generated projective modules over regular rings
• On regular rings with s-comparability
• Torsion in K₀ of unit-regular rings
• Comparability, separativity, and exchange rings
• On Regular Rings Satisfying Almost Comparability

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