Modules with every subgenerated module lifting

zbMath0854.16004MaRDI QIDQ1912850

Robert Wisbauer, Kiyoichi Oshiro

Publication date: 20 January 1997

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

zbMATH Keywords

direct sums of simple modulesCS-semisimple modulesuniform \(M\)-injective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (8)

The opposite of injectivity by proper classes ⋮ Rings over which every module is an \(I_0^\ast\)-module ⋮ Rings whose pure-injective right modules are direct sums of lifting modules. ⋮ \(I_0^*\)-modules ⋮ Submodules and direct summands. ⋮ Artinian serial rings R with J3(R) = 0 ⋮ Rings whose cyclic modules are lifting and ⊕-supplemented ⋮ Rings whose modules are \(\oplus\)-supplemented

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