Galois coverings of selfinjective algebras by repetitive algebras

DOI10.1090/S0002-9947-99-02362-4zbMath0915.16006OpenAlexW1933469662MaRDI QIDQ4219178

Yamagata, Kunio, Andrzej Skowroński

Publication date: 18 November 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02362-4

zbMATH Keywords

Auslander-Reiten quiversGalois coveringsrepetitive algebrasselfinjective Artin algebrasrepresentation-infinite tilted algebrasadmissible groups of automorphismssocle-equivalent algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Automorphisms and endomorphisms (16W20) Representations of associative Artinian rings (16G10)

Related Items (25)

Invariance of selfinjective algebras of quasitilted type under stable equivalences. ⋮ Self-injective Artin algebras without short cycles in the component quiver. ⋮ The Krull-Gabriel dimension of cycle-finite Artin algebras ⋮ The structure and homological properties of generalized standard Auslander-Reiten components ⋮ Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules ⋮ Selfinjective algebras without short cycles of indecomposable modules ⋮ Universal Galois coverings of self-injective algebras by repetitive algebras and Hochschild cohomology ⋮ Selfinjective algebras with hereditary stable slice ⋮ Tilted algebras and short chains of modules. ⋮ Canonical bimodules and dominant dimension ⋮ On simple-minded systems over domestic Brauer graph algebras ⋮ On selfinjective Artin algebras having generalized standard quasitubes. ⋮ On 0-Schur algebras. ⋮ On selfinjective algebras of finite representation type with maximal almost split sequences. ⋮ The representation dimension of a selfinjective algebra of wild tilted type ⋮ Automorphisms of repetitive algebras. ⋮ Cartan matrices of symmetric algebras having generalized standard stable tubes. ⋮ Positive Galois coverings of self-injective algebras. ⋮ A characterization of selfinjective algebras of strictly canonical type. ⋮ Coverings and truncations of graded self-injective algebras. ⋮ Stable equivalence of selfinjective Artin algebras of Dynkin type. ⋮ On invariability of self-injective algebras of tilted type under stable equivalences ⋮ Algebras stably equivalent to selfinjective algebras whose Auslander-Reiten quivers consist only of generalized standard components ⋮ Socle deformations of selfinjective orbit algebras of tilted type ⋮ Socle Deformations of Selfinjective Algebras of Euclidean Type

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