When is tight closure determined by the test ideal?
Abstract
We characterize the rings in which the equality (τ I: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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We characterize the rings in which the equality (τ I:τ)= I* holds for every ideal I ⊂ R. Under certain assumptions, these rings must be either weakly F-regular or one-dimensional.