The basic ring of a locally artinian category and applications

DOI10.1007/BF01194295zbMath0614.18006OpenAlexW1977743579MaRDI QIDQ1820230

Adalberto Orsatti, Menini, Claudia

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194295

zbMATH Keywords

linearly compact ringstorsion classbasic ringtopological ringHopkins-Levitzki theoremdirect product of division ringsartinian generatorlocally artinian Grothendieck category

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Topological and ordered rings and modules (16W80)

Related Items (5)

Classical Morita equivalence and linear topologies; applications to quasi-dualities ⋮ Dualities over compact rings ⋮ On a class of lineary compact rings ⋮ The basic ring of a locally artinian commutative grothendieck category ⋮ Integrality of Noetherian Grothendieck categories

Cites Work

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• Linear kompakte Moduln und Ringe. II
• A representation of locally Artinian categories
• Good dualities and strongly quasi-injective modules
• Linearly compact rings and strongly quasi-injective modules
• Density and equivalence
• Endomorphism rings of self-generators
• Duality theory for Grothendieck categories and linearly compact rings
• Linear kompakte Moduln und Ringe
• △-anneaux et modules △-injectifs. Applications aux categories localement artiniennes
• Des catégories abéliennes
• Endomorphism Rings of Projective Modules

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