Rings with finiteness conditions and their categories of functors

DOI10.1016/0021-8693(78)90193-XzbMath0395.16026OpenAlexW1989073061MaRDI QIDQ1252925

Kent R. Fuller, Harlan L. Hullinger

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90193-x

zbMATH Keywords

Homological AlgebraAbelian(Grothendieck) CategoryCategories of FunctorsFinite Representation TypeFinitely CogeneratedFiniteness ConditionsLeft ArtinianLeft CoherentLeft NoertherianMorita Duality

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Quasi-Frobenius rings (16L60) Special properties of functors (faithful, full, etc.) (18A22) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

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Morita equivalence for rings with local units, LLI rings and modules of type LP, Sur la conjecture de brauer-thrall pour les modules par, Left co-Köthe rings and their characterizations, Stable equivalence and rings whose modules are a direct sum of finitely generated modules, Several characterizations of left Köthe rings, Endomorphism rings of modules and lattices of submodules, Corings over rings with local units, On modules with the Kulikov property and pure semisimple modules and rings, On harada rings and quasi-harada rings with left global dimension at most 2, Simple semigroup graded rings, Zur Brauer-Thrall-Vermutung für Ringe

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