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Semiperfect modules and quasi-semiperfect modules

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Publication:1052439
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zbMath0516.16015MaRDI QIDQ1052439

Kiyoichi Oshiro

Publication date: 1983

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


zbMATH Keywords

direct summandssemiperfect ringssemiperfect modulesquasi-projective modulesdirect decompositionsdirect sums of hollow modulesgeneralized Krull-Remak-Schmidt-Azumaya theoremlifting property of direct sumslifting property of submodulesquasi-semiperfect modules


Mathematics Subject Classification ID

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) Noncommutative local and semilocal rings, perfect rings (16L30)


Related Items (10)

D4-Modules ⋮ Unnamed Item ⋮ On supplementation and generalized projective modules. ⋮ OnH-supplemented modules over a right perfect ring ⋮ Almost projective modules and generalized projective modules ⋮ On generalized injective modules and almost injective modules ⋮ On dual of square free modules ⋮ Almost M-projectives and Nakayama rings ⋮ On some classes of modules ⋮ Dual Utumi modules




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