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On the structure of periodic modules over tame algebras

Author(s): Andrzej Skowronski
Journal: Proc. Amer. Math. Soc. 127 (1999), 1941-1949.
MSC (1991): Primary 16G60, 16G70
Posted: March 8, 1999
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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.

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Additional Information:

Andrzej Skowronski
Affiliation: Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87--100 Torun, Poland
Email: skowron@mat.uni.torun.pl

DOI: 10.1090/S0002-9939-99-04855-8
PII: S 0002-9939(99)04855-8
Received by editor(s): May 28, 1997
Received by editor(s) in revised form: September 26, 1997
Posted: March 8, 1999
Additional Notes: The research was supported by the Polish Scientific Grant KBN No.~2P03A~020~08
Communicated by: Ken Goodearl
Copyright of article: Copyright 1999, American Mathematical Society

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