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Finitistic dimension and Ziegler spectrum
Authors:Henning Krause
Affiliation:Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
Abstract:Given a two-sided artinian ring $Lambda $, it is shown that the Ziegler spectrum of $Lambda $ forms a test class for certain homological properties of $Lambda $. We discuss the finitistic dimension of $Lambda $, Nunke's condition, and also the relation between the big and the little finitistic dimension.

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