U-distinguished modules

DOI10.1016/0021-8693(73)90072-0zbMath0252.16006OpenAlexW1985322477MaRDI QIDQ2557299

Toyonori Kato

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-8693(73)90072-0

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

Related Items (23)

Fpf endomorphism rings with applications to qf-3 rings ⋮ The rational Loewy series and nilpotent ideals of endomorphism rings ⋮ On co-FPF modules ⋮ Morita contexts and equivalences ⋮ The quotient category of a Morita context ⋮ Rings of quotients of generalized matrix rings ⋮ Simple \(\mathbb{Z} \)-graded domains of Gelfand-Kirillov dimension two ⋮ Structure of left $\mathrm{QF}-3$ rings ⋮ Morita contexts and torsions of modules ⋮ Endomorphism rings and dual modules ⋮ Relative splitting properties with applications to endomorphism rings ⋮ Equivalence and duality of quotient categories ⋮ Maximal quotient rings of generalized matrix rings ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Wide Morita contexts, relative injectivity and equivalence results. ⋮ Structure of dominant modules ⋮ Self-injective and PF endomorphism rings ⋮ Colocalization and localization ⋮ Duality between colocalization and localization ⋮ Graded Version of Kato-Müller Theorem. Applications ⋮ Correspondences of closed submodules ⋮ Endomorphism rings and category equivalences ⋮ Popesco-Gabriel theorem for \({\mathcal L}(V)\)

Cites Work

• Character modules, submodules of a free module, and quasi-Frobenius rings
• Duality in QF-3 rings
• Localizations in categories of modules. I
• On indecomposable injectives over artinian rings
• On splitting of module categories
• Dominant modules
• Double centralizers and dominant dimensions
• PF-modules
• On left \(QF-3\) rings
• Ein Satz über koendlich erzeugte RZ-Moduln
• Rings of dominant dimension $\geqq 1$
• The Structure of QF-3 Rings
• Eine Bemerkung über Kogeneratoren
• Some Generalizations of Quasi-Frobenius Algebras

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