Copure semisimple categories and almost split maps.

DOI10.1016/J.JPAA.2003.10.018zbMath1113.16025OpenAlexW2030919045MaRDI QIDQ1428098

José Luis García, Nguyen Viet Dung

Publication date: 14 March 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.10.018

zbMATH Keywords

idempotentsalmost split sequencesKrull-Schmidt categoriesfunctor categoriesleft almost split mapscategories of locally finite representation typecopure semisimple Grothendieck categoriesendofinitenessfinitely presented indecomposable objectsKrull-Schmidt rings

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (10)

Endofinite modules and pure semisimple rings. ⋮ Rings whose modules satisfy chain conditions on essential endosubmodules ⋮ Indecomposable modules over pure semisimple hereditary rings. ⋮ PURE SEMISIMPLE FINITELY ACCESSIBLE CATEGORIES AND HERZOG'S CRITERION ⋮ Endoproperties of modules and local duality. ⋮ DEFINABLE SUBCATEGORIES OVER PURE SEMISIMPLE RINGS ⋮ Preinjective modules over pure semisimple rings. ⋮ On the endofiniteness of a key module over pure semisimple rings ⋮ Splitting torsion pairs over pure semisimple rings. ⋮ Gruson-Jensen Duality for Idempotent Rings

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