On the structure of periodic modules over tame algebras

Skowroński, Andrzej

doi:10.1090/S0002-9939-99-04855-8

On the structure of periodic modules over tame algebras
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Proc. Amer. Math. Soc. 127 (1999), 1941-1949 Request permission

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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