On Ω-perfect modules and sequences of Betti numbers

Otto Kerner and Dan Zacharia

Abstract: Let R be a sel njective algebra. In this paper we consider Ω-perfect modules and show how to use them to get information about the shapes of the Auslander-Reiten components containing modules of fi nite complexity. We also look at the growth of the sequence of Betti numbers for modules belonging to certain types of Auslander-Reiten components.

Proceedings of the 44th Symposium on Ring Theory and Representation Theory, 76–91, Symp. Ring Theory Represent. Theory Organ. Comm., Nagoya, 2012.

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