On Morita duality

DOI10.1017/S0004972700016051zbMath0808.16006OpenAlexW2152121418MaRDI QIDQ4290992

Weimin Xue

Publication date: 16 March 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700016051

zbMATH Keywords

endomorphism ringsJacobson radicalArtinian ringsreflexive moduleendomorphismepimorphismmonomorphismquotient moduleMorita dualitycohereditaryquasi-projective modulesemihereditarycentral bimodules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Bimodules in associative algebras (16D20) Artinian rings and modules (associative rings and algebras) (16P20) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Centralizing and normalizing extensions (16S20)

Related Items (3)

A classification of torsion classes in abelian categories ⋮ A ONE-SIDED PRIME IDEAL PRINCIPLE FOR NONCOMMUTATIVE RINGS ⋮ Artinian rings with Morita duality

Cites Work

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• A Duality Theory for Injective Modules. (Theory of Quasi-Frobenius Modules)
• Rings whose Indecomposable Injective Modules are Uniserial
• Finite Dimensional Right Duo Algebras are Duo
• Rings with Duality
• Dimension de krull et dualite de morita dans les extensions triangulaires
• On Morita Duality
• On Hereditary and Cohereditary Modules
• Nil Subrings of Endomorphism Rings of Modules
• Finiteness Conditions for Projective and Injective Modules

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