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

Grzegorz Bobiński, and Andrzej Skowroński. "Selfinjective algebras of euclidean type with almost regular nonperiodic Auslander-Reiten components." Colloquium Mathematicae 88.1 (2001): 93-120. <http://eudml.org/doc/283582>.

@article{GrzegorzBobiński2001,
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.},
author = {Grzegorz Bobiński, Andrzej Skowroński},
journal = {Colloquium Mathematicae},
keywords = {selfinjective algebras; tilting modules; Auslander-Reiten quivers; tame quivers; quivers of Euclidean type; repetitive algebras; tame algebras},
language = {eng},
number = {1},
pages = {93-120},
title = {Selfinjective algebras of euclidean type with almost regular nonperiodic Auslander-Reiten components},
url = {http://eudml.org/doc/283582},
volume = {88},
year = {2001},
}

TY - JOUR
AU - Grzegorz Bobiński
AU - Andrzej Skowroński
TI - Selfinjective algebras of euclidean type with almost regular nonperiodic Auslander-Reiten components
JO - Colloquium Mathematicae
PY - 2001
VL - 88
IS - 1
SP - 93
EP - 120
AB - 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.
LA - eng
KW - selfinjective algebras; tilting modules; Auslander-Reiten quivers; tame quivers; quivers of Euclidean type; repetitive algebras; tame algebras
UR - http://eudml.org/doc/283582
ER -