We consider a class of algebras whose Auslander-Reiten quivers have starting components that are not generalized standard. For these components we introduce a generalization of a slice and show that only in finitely many cases (up to isomorphism) a slice module is a tilting module.
@article{bwmeta1.element.doi-10_2478_s11533-006-0039-0,
author = {Zygmunt Pogorza\l y and Karolina Szmyt},
title = {Slice modules over minimal 2-fundamental algebras},
journal = {Open Mathematics},
volume = {5},
year = {2007},
pages = {164-180},
zbl = {1120.16016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0039-0}
}
Zygmunt Pogorzały; Karolina Szmyt. Slice modules over minimal 2-fundamental algebras. Open Mathematics, Tome 5 (2007) pp. 164-180. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0039-0/
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