On modules of finite complexity over selfinjective Artin algebras.

DOI10.1007/S10468-010-9221-YzbMath1262.16015OpenAlexW2084919280MaRDI QIDQ431833

Dan Zacharia, Edward Lee Green

Publication date: 3 July 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-010-9221-y

zbMATH Keywords

Auslander-Reiten quiversAuslander-Reiten translatesmodules of finite complexity\(\Omega\)-perfect modulescomponents of self-injective algebrasindecomposable nonprojective modulesselfinjective Artin algebrasstable components

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (2)

Vanishing of self-extensions over symmetric algebras. ⋮ Complexity classes of modules over finite dimensional algebras

Cites Work

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• Subgroups and almost split sequences of a finite group
• The Auslander-Reiten quiver of a modular group algebra revisited
• Periodic resolutions and self-injective algebras of finite type.
• Modules with reducible complexity
• The construction of almost split sequences. III: Modules over two classes of tame local algebras
• Periodic algebras which are almost Koszul.
• Support varieties for selfinjective algebras.
• Complexity and periodicity
• The Hochschild cohomology ring of a selfinjective algebra of finite representation type
• Auslander-Reiten components containing modules with bounded Betti numbers
• The Auslander-Reiten quiver of a finite group

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