Exchange rings, related comparability and power-substitution

DOI10.1080/00927879808826347zbMath0914.16001OpenAlexW2053709301MaRDI QIDQ4210793

Huanyin Chen

Publication date: 15 April 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826347

zbMATH Keywords

direct sumsstable rankdirect summandscentral idempotentsexchange ringsdirectly finite ringsrelated comparabilitypower-cancellationpower-substitutioncancellation properties of modules

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)

Related Items (13)

Power-substitution,exchange rings and unit II-regularity ⋮ Related comparability over exchange rings ⋮ Power-Substitution and Exchange Rings ⋮ Unnamed Item ⋮ Diagonal reductions of matrices over exchange ideals ⋮ Ideal-comparability over regular rings. ⋮ On Related Power Comparability of Modules ⋮ On generalized stable rings ⋮ Onm-fold stable exchange rings ⋮ The State Space ofK₀of Exchange Rings ⋮ An infinite analogue of rings with stable rank one ⋮ Separativity of modules with finite exchange property ⋮ The comparable structure of exchange rings

Cites Work

• On rings whose projective modules have the exchange property
• Pseudosimilarity and cancellation of modules
• Exchange rings and decompositions of modules
• On N₀-quasi-continuous exchange rings
• Comparability, separativity, and exchange rings

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