Selfinjective algebras of euclidean type with almost regular nonperiodic Auslander-Reiten components

• Autorzy: Grzegorz Bobiński , Andrzej Skowroński
• Języki publikacji: EN

Abstrakty

EN

We give a complete description of finite-dimensional selfinjective algebras of Euclidean tilted type over an algebraically closed field whose all nonperiodic Auslander-Reiten components are almost regular. In particular, we describe the tame selfinjective finite-dimensional algebras whose all nonperiodic Auslander-Reiten components are almost regular and generalized standard.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16D50: Injective modules, self-injective rings
• 16G60: Representation type (finite, tame, wild, etc.)
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 88
• Numer: 1
• Strony: 93-120

Daty

wydano

2001

Twórcy

autor

Grzegorz Bobiński

• Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Andrzej Skowroński

• Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm88-1-8