Adela Vraciu
Strong Test Ideals,
We show that for any complete local characteristic p ring with test ideal
T, T is also a strong test ideal, i.e for every ideal I we have T(I* )=TI,
where I* stands for the tight closure of the ideal I. We discuss some
applications. We also discuss a special class of ideals in Gorenstein
rings for which I*=I:T.