△-anneaux et modules △-injectifs. Applications aux categories localement artiniennes

DOI10.1080/00927878108822692zbMath0481.16006OpenAlexW2021282891MaRDI QIDQ3937540

Constantin Năstăsescu

Publication date: 1981

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878108822692

zbMATH Keywords

projective modulesGrothendieck categoryinjective hullprimary decompositionMorita equivalent ringsHopkins-Levitzki theoremArtinian generatorsemi- primary ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Torsion theories, radicals (18E40) 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)

Related Items

Relativization, absolutization, and latticization in ring and module theory ⋮ On a question concerning locally artinian categories ⋮ On the equivalences of quotient category mod-(R,𝔣) with module category mod-s ⋮ ∑ (Δ)-injectiv modules over a strongly graded ring ⋮ Construction of dense ideals ⋮ Integrality of Noetherian Grothendieck categories ⋮ The basic ring of a locally artinian category and applications ⋮ The endomorphism ring of a Delta-module over a right Noetherian ring

Cites Work

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• Anneaux de quotients et modules ∑(▵)-injectifs
• Modules △,-injectifs sur les anneaux à dimension de krull
• Primary decomposition in right noetherian rings