On extending property on direct sums of uniform modules

zbMath0473.16018MaRDI QIDQ1158499

Kiyoichi Oshiro, Manabu Harada

Publication date: 1981

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

zbMATH Keywords

exchange propertydirect summandextending property of simple modulesessential submodulegeneralized uniserial ringcompletely indecomposable modulesessentially extended submoduleextending property of decompositionextending property of uniform 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) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) Representation theory of associative rings and algebras (16Gxx) Division rings and semisimple Artin rings (16Kxx)

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