On hereditary artinian rings and the pure semisimplicity conjecture: rigid tilting modules and a weak conjecture

DOI10.4064/CM135-2-6zbMath1315.16010OpenAlexW2321822231WikidataQ123119902 ScholiaQ123119902MaRDI QIDQ5168585

José Luis García

Publication date: 7 July 2014

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

Full work available at URL: https://doi.org/10.4064/cm135-2-6

zbMATH Keywords

tilting modulespure semisimple ringsfinite representation typetriangular matrix ringsdirect sums of finitely generated modulespure semisimplicity conjecture

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) 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)

Related Items (3)

Small potential counterexamples to the pure semisimplicity conjecture ⋮ Pure semisimplicity conjecture and Artin problem for dimension sequences ⋮ Tilting cotorsion pairs and pure semisimple rings

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