Výsledky vyhledávání - "VRACIU, ADELA N."

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Autor: Fouli, Louiza, Vassilev, Janet C., Vraciu, Adela-N.

Expanding on the work of Fouli and Vassilev \cite{FV}, we determine a formula for the *-$\rm{core}$ of an ideal in two different settings: (1) in a Cohen--Macaulay local ring of characteristic $p>0$, perfect residue field and test ideal of depth at l

Externí odkaz: http://arxiv.org/abs/0910.4597

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When is tight closure determined by the test ideal?

Autor: Vassilev, Janet C., Vraciu, Adela N.

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.

Externí odkaz: http://arxiv.org/abs/0809.1891

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Socle degrees of Frobenius powers

Autor: Kustin, Andrew R., Vraciu, Adela N.

Let $k$ be a field of positive characteristic $p$, $R$ be a Gorenstein graded $k$-algebra, and $S=R/J$ be an artinian quotient of $R$ by a homogeneous ideal. We ask how the socle degrees of $S$ are related to the socle degrees of $F_R^e(S)=R/J^{[q]}$

Externí odkaz: http://arxiv.org/abs/math/0606511

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