Categories of modules over endomorphism rings

DOI10.1090/memo/0492zbMath0773.16010OpenAlexW1982579793MaRDI QIDQ4696721

Theodore G. Faticoni

Publication date: 29 June 1993

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0492

zbMATH Keywords

direct summandsquotient categorycategory equivalencesbimoduleendomorphism ringfinite direct sumsprojective generatorGabriel-Popescu theoremMorita theoremsself-small modules\(\Sigma\)-quasi- projective modulecategory of finitely generated projective right \(E\)-modulesGabriel's localization theoryself-injective endomorphism rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Free, projective, and flat modules and ideals in associative algebras (16D40)

Related Items (3)

Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Commutative endomorphism algebras of torsion-free, rank-two Kronecker modules with singular height functions. ⋮ Modules over discrete valuation domains. III

This page was built for publication: Categories of modules over endomorphism rings