Finitistic dimension and Ziegler spectrum

Krause, Henning

doi:10.1090/S0002-9939-98-04170-7

Finitistic dimension and Ziegler spectrum
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by Henning Krause

Proc. Amer. Math. Soc. 126 (1998), 983-987

DOI: https://doi.org/10.1090/S0002-9939-98-04170-7

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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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