Indecomposable modules over pure semisimple hereditary rings.

DOI10.1016/j.jalgebra.2012.09.004zbMath1285.16007OpenAlexW2002435311MaRDI QIDQ1952158

Nguyen Viet Dung, José Luis García

Publication date: 27 May 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.09.004

zbMATH Keywords

pure semisimple ringsinfinite representation typeendofinite modulesExt injective partitionshereditary indecomposable ringsleft almost split morphisms

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

Small potential counterexamples to the pure semisimplicity conjecture ⋮ Approximations and Mittag-Leffler conditions the applications ⋮ Rings whose modules satisfy chain conditions on essential endosubmodules ⋮ Preradicals over left pure semisimple hereditary rings ⋮ Splitting torsion pairs over pure semisimple rings. ⋮ Tilting cotorsion pairs and pure semisimple rings

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