The component quiver of a self-injective artin algebra
Alicja Jaworska; Andrzej Skowroński
Colloquium Mathematicae (2011)
- Volume: 122, Issue: 2, page 233-239
- ISSN: 0010-1354
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topAlicja Jaworska, and Andrzej Skowroński. "The component quiver of a self-injective artin algebra." Colloquium Mathematicae 122.2 (2011): 233-239. <http://eudml.org/doc/286277>.
@article{AlicjaJaworska2011,
abstract = {We prove that the component quiver $Σ_\{A\}$ of a connected self-injective artin algebra A of infinite representation type is fully cyclic, that is, every finite set of components of the Auslander-Reiten quiver $Γ_\{A\}$ of A lies on a common oriented cycle in $Σ_\{A\}$.},
author = {Alicja Jaworska, Andrzej Skowroński},
journal = {Colloquium Mathematicae},
keywords = {self-injective Artin algebras; component quivers; Auslander-Reiten quivers},
language = {eng},
number = {2},
pages = {233-239},
title = {The component quiver of a self-injective artin algebra},
url = {http://eudml.org/doc/286277},
volume = {122},
year = {2011},
}
TY - JOUR
AU - Alicja Jaworska
AU - Andrzej Skowroński
TI - The component quiver of a self-injective artin algebra
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 233
EP - 239
AB - We prove that the component quiver $Σ_{A}$ of a connected self-injective artin algebra A of infinite representation type is fully cyclic, that is, every finite set of components of the Auslander-Reiten quiver $Γ_{A}$ of A lies on a common oriented cycle in $Σ_{A}$.
LA - eng
KW - self-injective Artin algebras; component quivers; Auslander-Reiten quivers
UR - http://eudml.org/doc/286277
ER -
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