On selfinjective artin algebras having nonperiodic generalized standard Auslander-Reiten components

Andrzej Skowroński; Kunio Yamagata

Colloquium Mathematicae (2003)

  • Volume: 96, Issue: 2, page 235-244
  • ISSN: 0010-1354

Abstract

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We describe the structure of all selfinjective artin algebras having at least three nonperiodic generalized standard Auslander-Reiten components. In particular, all selfinjective artin algebras having a generalized standard Auslander-Reiten component of Euclidean type are described.

How to cite

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Andrzej Skowroński, and Kunio Yamagata. "On selfinjective artin algebras having nonperiodic generalized standard Auslander-Reiten components." Colloquium Mathematicae 96.2 (2003): 235-244. <http://eudml.org/doc/284545>.

@article{AndrzejSkowroński2003,
abstract = {We describe the structure of all selfinjective artin algebras having at least three nonperiodic generalized standard Auslander-Reiten components. In particular, all selfinjective artin algebras having a generalized standard Auslander-Reiten component of Euclidean type are described.},
author = {Andrzej Skowroński, Kunio Yamagata},
journal = {Colloquium Mathematicae},
keywords = {selfinjective Artin algebras; Auslander-Reiten quivers},
language = {eng},
number = {2},
pages = {235-244},
title = {On selfinjective artin algebras having nonperiodic generalized standard Auslander-Reiten components},
url = {http://eudml.org/doc/284545},
volume = {96},
year = {2003},
}

TY - JOUR
AU - Andrzej Skowroński
AU - Kunio Yamagata
TI - On selfinjective artin algebras having nonperiodic generalized standard Auslander-Reiten components
JO - Colloquium Mathematicae
PY - 2003
VL - 96
IS - 2
SP - 235
EP - 244
AB - We describe the structure of all selfinjective artin algebras having at least three nonperiodic generalized standard Auslander-Reiten components. In particular, all selfinjective artin algebras having a generalized standard Auslander-Reiten component of Euclidean type are described.
LA - eng
KW - selfinjective Artin algebras; Auslander-Reiten quivers
UR - http://eudml.org/doc/284545
ER -

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