Closed submodules of free modules over the endomorphism ring of a quasi-injective module

DOI10.1080/00927878808823564zbMath0645.16016OpenAlexW2020377408MaRDI QIDQ3788154

J. L. García Hernández, José L. Gómez Pardo

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823564

zbMATH Keywords

dualityprojective coverendomorphism ringright semihereditary ringessential finite-dimensional polyform submodulequasi-injective left R- modulesimple right S-module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Other classes of modules and ideals in associative algebras (16D80)

Related Items (7)

Endofinite modules and pure semisimple rings. ⋮ Regular and principal projective endomorphism rings of mixed abelian groups ⋮ CS rings and nakayama permutations ⋮ Counterinjective modules and duality ⋮ Selfinjective endomorphism rings of quasi-injective modules ⋮ Endomorphism rings and the category of finitely generated projective modules ⋮ Morita dualities associated with the \(R\)-dual functors

Cites Work

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• Dominant modules and finite localizations
• Good dualities and strongly quasi-injective modules
• Equivalence between colocalization and localization in Abelian categories with applications to the theory of modules
• Rings which have flat injective modules
• Semihereditary endomorphism rings
• Die Struktur von projektiven Moduln. (The structure of projective modules.)
• Restricted M-injective modules and FP-injective endomorphism rings
• Representation of rings with faithful polyform modules
• Localization of modules and the central closure of rings
• Factors of cofinitely generated injective modules

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