On the structure of periodic modules over tame algebras

Authors
Skowronski, A
Citation
A. Skowronski, On the structure of periodic modules over tame algebras, P AM MATH S, 127(7), 1999, pp. 1941-1949
Citations number
30
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
7
Year of publication
1999
Pages
1941 - 1949
Database
ISI
SICI code
0002-9939(199907)127:7<1941:OTSOPM>2.0.ZU;2-N
Abstract
We describe the structure of stable tubes in the Auslander-Reiten quivers o f tame algebras formed by indecomposable modules which do not lie on infini te short cycles. In particular, we prove that all algebras whose module cat egories have no infinite short cycles are of linear growth.