10 citations · 10 across the 4 of their papers we have counts for
4 papers
When is tight closure determined by the test ideal?
Janet C. Vassilev, Adela N. Vraciu
We characterize the rings in which the equality holds for every ideal . Under certain assumptions, these rings must be either weakly F-regular or one-dim…
A new version of -tight closure
Adela Vraciu
Hara and Yoshida introduced a notion of $\aaa$-tight closure in 2003, and they proved that the test ideals given by this operation correspond to multiplier ideals. However, their o…
Rings which are almost Gorenstein
Craig Huneke, Adela Vraciu
We introduce classes of rings which are close to being Gorenstein. These rings arise naturally as specializations of rings of countable CM type. We study these rings in detail, and…
Tight closure and linkage classes in Gorenstein rings
Adela Vraciu
We study the relationship between the tight closure of an ideal and the sum of all ideals in its linkage class.