A Construction of Unit-Regular Rings Which Satisfy (DF)

DOI10.1081/AGB-120028795zbMath1074.16006MaRDI QIDQ3154526

Mamoru Kutami

Publication date: 14 January 2005

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

zbMATH Keywords

direct sumsprojective modulesvon Neumann regular ringsunit-regular ringsdirectly finite modules

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

• Homomorphisms of C* algebras to finite AW* algebras
• The structure of countably generated projective modules over regular rings
• On regular rings with s-comparability

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