On hereditary rings and the pure semisimplicity conjecture II: Sporadic potential counterexamples

DOI10.4064/CM139-1-4zbMath1336.16013OpenAlexW2320397300WikidataQ123282587 ScholiaQ123282587MaRDI QIDQ4983467

José Luis García

Publication date: 26 March 2015

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

Full work available at URL: https://doi.org/10.4064/cm139-1-4

zbMATH Keywords

tilting modulesAuslander-Reiten componentspure semisimple ringsfinite representation typetriangular matrix ringsdirect sums of finitely generated modulespure semisimplicity conjecturedimension sequencessporadic rings

Mathematics Subject Classification ID

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

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