When is tight closure determined by the test ideal?

2008/09/10 by Vassilev, Janet C., Vraciu, Adela N.
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0809.1891

Abstract

We characterize the rings in which the equality (τI:τ)= I^* holds for every ideal I ⊂ R. Under certain assumptions, these rings must be either weakly F-regular or one-dimensional.

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