The State Space ofK0of Exchange Rings

DOI10.1080/00927870500261017zbMath1135.16011OpenAlexW2105004690MaRDI QIDQ5478637

Qisheng Li, Tong Wenting

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500261017

zbMATH Keywords

Grothendieck groupsexchange ringsstate spacesgeneral comparability

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) 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

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• Rank functions on rings
• Krull-Schmidt and cancellation over local rings
• Bass's first stable range condition
• Separative cancellation for projective modules over exchange rings
• Finitely generated projective modules over exchange rings
• Extensions of exchange rings
• Rings and modules with exchange properties
• Cancellation of projective modules over regular rings with comparability
• Exchange rings and decompositions of modules
• EXCHANGE RINGS WITH GENERAL ALEPH-NOUGHT-COMPARABILITY
• Exchange rings, related comparability and power-substitution
• Related comparability over exchange rings
• Comparability, separativity, and exchange rings

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