Author:
Aberbach Ian M.,Maccrimmon Brian
Abstract
Let (R, m) be a Noetherian local reduced ring of positive prime characteristic. We show that if R is ℚ-Gorenstein then the test ideal of R localizes, which extends a result of K. E. Smith. We also show that if Rc, is weakly F-regular and ℚ-Gorenstein, then c has a power which is a completely stable test element. This extends results of Höchster and Huneke.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. F-rational rings have rational singularities
2. Tight closure and strong F-regularity
3. Test ideals in local rings
4. 6. MacCrimmon B. , Weak F-regularity is strong F-regularity for rings with isolated non-ℚ-Gorenstein points, Trans. Amer. Math. Soc., to appear.
5. Tight closure, invariant theory, and the Briançon-Skoda theorem;Hochster;J. Amer. Math. Soc.,1990
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