Preinjective modules over pure semisimple rings.

DOI10.1016/j.jpaa.2007.09.006zbMath1207.16009OpenAlexW2006347464MaRDI QIDQ2475117

Nguyen Viet Dung, José Luis García

Publication date: 10 March 2008

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.2007.09.006

zbMATH Keywords

local dualitiesdirect sumsalmost split morphismsindecomposable modulespure semisimple ringsfinite representation typeleft Artinian ringspreprojective modulespreinjective modulesendofinite modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of associative Artinian rings (16G10)

Related Items

Indecomposable modules over pure semisimple hereditary rings. ⋮ DEFINABLE SUBCATEGORIES OVER PURE SEMISIMPLE RINGS ⋮ On the endofiniteness of a key module over pure semisimple rings ⋮ Splitting torsion pairs over pure semisimple rings. ⋮ Pure semisimplicity conjecture and Artin problem for dimension sequences

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