REGULAR RINGS WITH COMPARABILITY AND SOME RELATED PROPERTIES

DOI10.1081/AGB-120004491zbMath1012.16012MaRDI QIDQ3146319

Mamoru Kutami

Publication date: 17 March 2003

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

zbMATH Keywords

direct sumsfinitely generated projective modulesvon Neumann regular ringsunit-regular ringsweak comparabilitystrict unperforationdirectly 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)

Related Items (2)

On von Neumann regular rings with weak comparability. ⋮ On Von Neumann Regular Rings With Weak Comparability II

Cites Work

• Aleph-nought-continuous regular rings
• Directly finite aleph-nought-continuous regular rings
• Cancellation of modules and groups and stable range of endomorphism rings
• Simple regular rings satisfying weak comparability
• The almost isomorphism relation for simple regular rings
• \(K\)-theoretically simple von Neumann regular rings
• Cancellation of projective modules over regular rings with comparability
• UNIT-REGULAR RINGS SATISFYING WEAK COMPARABILITY
• On regular rings with s-comparability
• Torsion in K₀ of unit-regular rings
• Comparability, separativity, and exchange rings

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