Decomposing modules into projectives and injectives

DOI10.2140/PJM.1978.76.247zbMath0399.16012OpenAlexW2130711873MaRDI QIDQ1254597

Patrick F. Smith

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2140/pjm.1978.76.247

zbMATH Keywords

Cyclic Right ModuleInjective Right ModuleProjective Right ModuleRight Artinian Right Cdpi-RingsRight Noetherian Right Cdpi-RingsRight Pci- RingSemiprime ArtinianSimple Right Noetherian Right Cdpi-RingsSimple Right Semihereditary Right Ore Domains

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) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (10)

A right continuous right weakly si-ring is semisimple ⋮ Rings with restricted injective condition ⋮ On modules of finite length ⋮ Cyclic modules whose quotients have all complement submodules direct summands ⋮ Modules whose closed submodules are finitely generated ⋮ Skew-injective modules ⋮ Some homological characterizations of regular rings ⋮ Some homological characterizations of regular rings ⋮ Modules ⋮ Structure of some Noetherian SI rings

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