# When is tight closure determined by the test ideal?

Research paper by Janet C. Vassilev, Adela N. Vraciu

Indexed on: 10 Sep '08Published on: 10 Sep '08Published in: Mathematics - Commutative Algebra

#### 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.