On wings of the Auslander-Reiten quivers of selfinjective algebras

Marta Kwiecień, and Andrzej Skowroński. "On wings of the Auslander-Reiten quivers of selfinjective algebras." Colloquium Mathematicae 103.2 (2005): 265-285. <http://eudml.org/doc/283829>.

@article{MartaKwiecień2005,
abstract = {We give necessary and sufficient conditions for a wing of an Auslander-Reiten quiver of a selfinjective algebra to be the wing of the radical of an indecomposable projective module. Moreover, a characterization of indecomposable Nakayama algebras of Loewy length ≥ 3 is obtained.},
author = {Marta Kwiecień, Andrzej Skowroński},
journal = {Colloquium Mathematicae},
keywords = {selfinjective algebras; Auslander-Reiten quivers; wings; indecomposable projective modules; Nakayama algebras; Auslander-Reiten sequences; path algebras; Dynkin quivers},
language = {eng},
number = {2},
pages = {265-285},
title = {On wings of the Auslander-Reiten quivers of selfinjective algebras},
url = {http://eudml.org/doc/283829},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Marta Kwiecień
AU - Andrzej Skowroński
TI - On wings of the Auslander-Reiten quivers of selfinjective algebras
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 2
SP - 265
EP - 285
AB - We give necessary and sufficient conditions for a wing of an Auslander-Reiten quiver of a selfinjective algebra to be the wing of the radical of an indecomposable projective module. Moreover, a characterization of indecomposable Nakayama algebras of Loewy length ≥ 3 is obtained.
LA - eng
KW - selfinjective algebras; Auslander-Reiten quivers; wings; indecomposable projective modules; Nakayama algebras; Auslander-Reiten sequences; path algebras; Dynkin quivers
UR - http://eudml.org/doc/283829
ER -