On morita duality for additive group valued functors

DOI10.1080/00927877908822355zbMath0395.16017OpenAlexW2059514148MaRDI QIDQ4177720

Yamagata, Kunio

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822355

zbMATH Keywords

Morita DualityArtinian RingsAdditive Group Valued FunctorsFunctor Rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Conditions on elements (16U99) Artinian rings and modules (associative rings and algebras) (16P20) Homological methods in associative algebras (16Exx)

Related Items (5)

Linear compactness and Morita duality for Grothendieck categories ⋮ Nonsingular rings whose double duals preserve monomorphisms ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Exactness of the double dual and Morita duality for Grothendieck categories ⋮ Morita equivalence for infinite matrix rings

Cites Work

• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• The exchange property and direct sums of indecomposable injective modules
• Stable equivalence of dualizing R-varieties
• A generalization of quasi-Frobenius rings
• Duality theorem of character modules for rings with minimum condition
• A Duality Theory for Injective Modules. (Theory of Quasi-Frobenius Modules)
• Representation theory of artin algebras iii almost split sequences
• Representation Theory of Artin Algebras II

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