Auslander-Reiten components over pure-semisimple hereditary rings.

DOI10.1016/J.JALGEBRA.2010.10.039zbMath1247.16016OpenAlexW2042674728MaRDI QIDQ716464

Lidia Angeleri Hügel, Herbera, Dolors

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.10.039

zbMATH Keywords

Auslander-Reiten componentsAuslander-Reiten quiversindecomposable modulesfinite representation typecotilting dualitieshereditary ringspure-semisimple ringspure-semisimplicity conjecturetilting equivalencestilting functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)

Related Items (5)

Approximations and Mittag-Leffler conditions the applications ⋮ Indecomposable modules over pure semisimple hereditary rings. ⋮ Splitting torsion pairs over pure semisimple rings. ⋮ Pure semisimplicity conjecture and Artin problem for dimension sequences ⋮ Tilting cotorsion pairs and pure semisimple rings

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