Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87--100 Torun, Poland
Abstract:
We describe the structure of stable tubes in the Auslander-Reiten quivers of tame algebras formed by indecomposable modules which do not lie on infinite short cycles. In particular, we prove that all algebras whose module categories have no infinite short cycles are of linear growth.