A duality result for almost split sequences

DOI10.4064/cm-80-2-267-292zbMath0953.16010OpenAlexW1592264047MaRDI QIDQ4261659

Lidia Angeleri Hügel, Helmut Valenta

Publication date: 26 October 2000

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210718

zbMATH Keywords

tiltingtorsion theoriesfinite representation typealmost split sequencespreprojective modulescategories of finitely generated modulespreinjective modulesright pure semisimple ringsendolengthshereditary Artinian 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) 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) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (11)

A key module over pure-semisimple hereditary rings. ⋮ TTF triples in functor categories. ⋮ Indecomposable modules over pure semisimple hereditary rings. ⋮ Endoproperties of modules and local duality. ⋮ Preinjective modules over pure semisimple rings. ⋮ On the endofiniteness of a key module over pure semisimple rings ⋮ Splitting torsion pairs over pure semisimple rings. ⋮ Large tilting modules and representation type. ⋮ Auslander-Reiten components over pure-semisimple hereditary rings. ⋮ Tilting cotorsion pairs and pure semisimple rings ⋮ ∞-costar modules

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