Finite Exchange Property for Quasi-projective Modules

DOI10.1142/S1005386711000381zbMath1232.16002MaRDI QIDQ3088413

Huanyin Chen

Publication date: 19 August 2011

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

Full work available at URL: http://worldscinet.com/ac/18/1803/S1005386711000381.html

zbMATH Keywords

exchange ringsfinite exchange propertyquasi-projective modulessemi-\(\pi\)-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) Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

• Classes of modules with the exchange property
• Extensions of exchange rings
• Self-cancellation of modules having the finite exchange property.
• Exchange rings and decompositions of modules
• Extensions of Exchange QB-Rings
• Quasi-projective modules with the finite exchange property
• The exchange property for purely infinite simple rings
• OnQBEndomorphism Rings
• K₀of Exchange Rings with All Idempotents Central

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