Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587759 | Journal of Algebra | 2008 | 12 Pages |
Abstract
We show that the F-signature of a strongly F-regular local ring of characteristic p exists in the case that the non-Q-Gorenstein locus is dimension 1, given that a certain bound on zeroth local cohomology modules holds. This bound is shown to hold for rings essentially of finite type over a field. This is the first case in which hypotheses sufficient to prove the existence of the F-signature are not readily sufficient to prove the implication that weak F-regularity implies strong F-regularity.
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Physical Sciences and Engineering
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