Separativity of modules with finite exchange property

DOI10.1007/BF02884178zbMath0983.16004MaRDI QIDQ1589763

Huanyin Chen, Fu-an Li

Publication date: 21 January 2002

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

direct sumsfinitely generated projective modulesexchange ringsexchange propertycancellation conditionsrelated comparabilityseparative ringsseparative modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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

On ideals of regular rings

Cites Work

• Unnamed Item
• On rings whose projective modules have the exchange property
• Cancellation of modules and groups and stable range of endomorphism rings
• Pseudosimilarity and cancellation of modules
• Algebraically compact rings and modules
• Separative cancellation for projective modules over exchange rings
• Cancellation of projective modules over regular rings with comparability
• Exchange rings and decompositions of modules
• Units and One-Sided Units in Regular Rings
• Direct sum properties of quasi-injective modules
• Exchange rings, related comparability and power-substitution
• On modules for which the finite exchange property implies the countable exchange property
• Comparability of modules over regular rings
• Comparability, separativity, and exchange rings