Selfinjective algebras of euclidean type with almost regular nonperiodic Auslander–Reiten components
Volume 88 / 2001
Colloquium Mathematicum 88 (2001), 93-120
MSC: 16D50, 16G20, 16G60, 16G70.
DOI: 10.4064/cm88-1-8
Abstract
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.