Comparability and \(s\)-comparability of modules over exchange rings

DOI10.1007/S101140100118zbMath1008.16010OpenAlexW2035128540MaRDI QIDQ5946547

Huanyin Chen, Fu-an Li

Publication date: 8 April 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100118

zbMATH Keywords

exchange rings\(s\)-comparabilitysubdirect products

Mathematics Subject Classification ID

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

• Simple regular rings satisfying weak comparability
• Separative cancellation for projective modules over exchange rings
• Stable range one for exchange rings
• Extensions of exchange rings
• \(K_ 1\) of separative exchange rings and \(C^ *\)-algebras with real rank zero.
• Cancellation of projective modules over regular rings with comparability
• Units and One-Sided Units in Regular Rings
• On regular rings with s-comparability
• Elements in one-sided unit regular rings
• Comparability of modules over regular rings
• Multipliers of von neumann regular rings
• Refinement monoids with weak comparability and applications to regular rings and $C*$-algebras
• Stable Range One for Rings with many Idempotents
• Comparability, separativity, and exchange rings
• On generalized stable rings

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