3 citations · 6 across the 15 of their papers we have counts for
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math.AC2008
The of an ideal
Louiza Fouli, Janet Vassilev
We expand the notion of core to -core for Nakayama closures . In the characteristic setting, when is the tight closure, denoted by *, we give some examples of id…
math.AC2008★ 3 cited
Structure on the set of closure operations of a commutative ring
Janet C. Vassilev
We investigate the algebraic structure on the set of closure operations of a ring. We show the set of closure operations is not a monoid under composition for a discrete valuation…
math.AC2008
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…