Rings Characterized by their Cyclic Modules

DOI10.4153/CJM-1979-011-2zbMath0412.16012MaRDI QIDQ4200332

Patrick F. Smith

Publication date: 1979

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

zbMATH Keywords

projective moduleinjective modulecyclic right 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) Other classes of modules and ideals in associative algebras (16D80) Representation theory of associative rings and algebras (16Gxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (17)

A structure theorem for SI-Modules ⋮ On rings with restricted minimum condition ⋮ A right continuous right weakly si-ring is semisimple ⋮ Nouvelles caracterisations des v-anneaux et des anneaux pseudo-frobeniusiens¹ ⋮ A characterization of artinian rings ⋮ A characterization of locally Artinian modules ⋮ Rings with restricted injective condition ⋮ A characterization of rings with Krull dimension ⋮ On a class of non-noetherian V-ring ⋮ Cyclic modules whose quotients have all complement submodules direct summands ⋮ A characterization of noetherian rings by cyclic modules ⋮ On modules with finite uniform and Krull dimension ⋮ RINGS OVER WHICH CYCLICS ARE DIRECT SUMS OF PROJECTIVE AND CS OR NOETHERIAN ⋮ Modules whose closed submodules are finitely generated ⋮ Rings characterized by cyclic modules ⋮ Modules ⋮ Structure of some Noetherian SI rings

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