The class of n-fundamental algebras is introduced. It is a subclass of string algebras. For n-fundamental algebras we study the problem of when the Auslander-Reiten quiver contains, at the beginning or at the end, a component which is not generalized standard.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-10,
author = {Zygmunt Pogorza\l y and Miros\l awa Sufranek},
title = {Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras},
journal = {Colloquium Mathematicae},
volume = {100},
year = {2004},
pages = {111-144},
zbl = {1107.16022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-10}
}
Zygmunt Pogorzały; Mirosława Sufranek. Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras. Colloquium Mathematicae, Tome 100 (2004) pp. 111-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-10/