Gruson-Jensen Duality for Idempotent Rings

DOI10.1080/00927870500261082zbMath1102.16004OpenAlexW2154164144MaRDI QIDQ5478643

José Luis García, Septimiu Crivei

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500261082

zbMATH Keywords

Grothendieck categoriessymmetric categoriesidempotent ringsdualities of categoriespanoramic rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40)

Related Items (10)

Baer-Kaplansky classes in Grothendieck categories and applications ⋮ PURE SEMISIMPLE FINITELY ACCESSIBLE CATEGORIES AND HERZOG'S CRITERION ⋮ SYMMETRY FOR COMODULE CATEGORIES ⋮ Covers in finitely accessible categories ⋮ DEFINABLE SUBCATEGORIES OVER PURE SEMISIMPLE RINGS ⋮ Quillen's small object argument in the category of firm modules. ⋮ Uniqueness of uniform decompositions in exact categories ⋮ Exactness of direct limits in the category of firm modules ⋮ Definable additive categories: purity and model theory ⋮ Embeddings of Exactly Definable and Finitely Accessible Additive Categories into Freyd Categories

Cites Work

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• Morita contexts and equivalences
• Rings with Morita duality
• Colocalization and localization
• Exactly definable categories
• On flat and projective envelopes
• Copure semisimple categories and almost split maps.
• Locally finitely presented additive categories
• Finite presentation and purity in categories σ[M]
• Additive categories of locally finite representation type

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