15 research outputs found
A formula for the *-core of an ideal
Full text linkExpanding on the work of Fouli and Vassilev \cite{FV}, we determine a formula
for the *- of an ideal in two different settings: (1) in a
Cohen--Macaulay local ring of characteristic , perfect residue field and
test ideal of depth at least two, where the ideal has a minimal *-reduction
that is a parameter ideal and (2) in a normal local domain of characteristic
, perfect residue field and \m-primary test ideal, where the ideal is a
sufficiently high Frobenius power of an ideal. We also exhibit some examples
where our formula fails if our hypotheses are not met.Comment: 11 pages, submitted for publicatio
