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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm96-2-8,
author = {Andrzej Skowro\'nski and Kunio Yamagata},
title = {On selfinjective artin algebras having nonperiodic generalized standard Auslander-Reiten components},
journal = {Colloquium Mathematicae},
volume = {96},
year = {2003},
pages = {235-244},
zbl = {1060.16013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm96-2-8}
}
Andrzej Skowroński; Kunio Yamagata. On selfinjective artin algebras having nonperiodic generalized standard Auslander-Reiten components. Colloquium Mathematicae, Tome 96 (2003) pp. 235-244. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm96-2-8/