When is tight closure determined by the test ideal?
classification
🧮 math.AC
keywords
idealringsassumptionscertaincharacterizeclosuredeterminedeither
read the original abstract
We characterize the rings in which the equality $(\tau I:\tau)= I^*$ holds for every ideal $I \subset R$. Under certain assumptions, these rings must be either weakly F-regular or one-dimensional.
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