Applications of pseudocanonical covers to tight closure problems |
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Authors: | Florian Enescu |
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Institution: | a Department of Mathematics, University of Utah, JWB 233, 1400 East, 155 South, 84112 Salt Lake City, Utah, USA b Institute of Mathematics, P.O. Box 1-764, RO-70700, Bucharest, Romania |
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Abstract: | It is well known that nice conditions on the canonical module of a ring have a strong impact in the study of strong F-regularity and F-purity. For example, in the Gorenstein (or even -Gorenstein) case strong F-regularity is equivalent to weak F-regularity, and it is conjectured that this is true in general. In this note, we will show how to use the double cover of a ring to obtain sufficient conditions for strong F-regularity and F-purity. Our results involve a closure operation for a pair of ideals that could be of relevance for the conjecture mentioned above. |
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Keywords: | 13A35 |
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