The aim of this note is to give an affirmative answer to a problem raised in [9] by J. Nehring and A. Skowroński, concerning the number of nonstable ℙ₁(K)-families of quasi-tubes in the Auslander-Reiten quivers of the trivial extensions of tubular algebras over algebraically closed fields K.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-8,
author = {Jerzy Bia\l kowski},
title = {On the trivial extensions of tubular algebras},
journal = {Colloquium Mathematicae},
volume = {100},
year = {2004},
pages = {259-269},
zbl = {1080.16011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-8}
}
Jerzy Białkowski. On the trivial extensions of tubular algebras. Colloquium Mathematicae, Tome 100 (2004) pp. 259-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-8/