Rings for which certain modules are \(CS\)

DOI10.1016/0022-4049(95)00084-AzbMath0919.16002MaRDI QIDQ1901013

Patrick F. Smith, Nguyen Viet Dung

Publication date: 3 December 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

finitely generated modulesdirect sumsdecompositionsclasses of modulessingular modules\(CS\)-modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (15)

When is the cs condition hereditary? ⋮ \(\Sigma\)-extending modules ⋮ On indecomposable decompositions of \(CS\)-modules. II ⋮ Rings whose pure-injective right modules are direct sums of lifting modules. ⋮ On some classes of Artinian rings ⋮ An alternative perspective on injectivity of modules. ⋮ Artinian serial rings R with J3(R) = 0 ⋮ Modules which are extending relative to module classes ⋮ Rings whose finitely generated modules are extending ⋮ Rings whose modules are direct sums of extending modules ⋮ Generalized Injectivity and Approximations ⋮ Simple-direct-modules ⋮ Simple-Direct-Projective Modules ⋮ Decompositions of modules into projective modules and CS-modules ⋮ Some remarks on CS modules and SI rings

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