Projective modules over simple regular rings

zbMath0415.16013MaRDI QIDQ599887

Jiro Kado

Publication date: 1979

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

projective modulesdimension functioncomparability axiomdirectly infinite projective modulesfinitely generated free right moduleisomorphic refinement propertylattice of principal right idealsprojective right idealsimple von Neumann regular ring

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Modules, bimodules and ideals in associative algebras (16Dxx)

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The structure of countably generated projective modules over regular rings

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