Submission date: 26 August 2011.

Abstract:

We describe the torsion-free part of the Ziegler spectrum, both the points and the topology, over the integral group ring of the Klein group. For instance we show that the Cantor-Bendixson rank of this space is equal to 3.

Mathematics Subject Classification: 03C60, 16D50, 16G30, 16S34.

Keywords and phrases: Ziegler spectrum, Klein four group, Cantor-Bendixson rank

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