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math.AC2003★ 2 cited
The Structure of F-Pure Rings
Ian M. Aberbach, Florian Enescu
For a reduced F-finite ring R of characteristic p >0 and q=p^e one can write R^{1/q} = R^{a_q} \oplus M_q, where M_q has no free direct summands over R. We investigate the structur…
math.AC2003
An inequality involving tight closure and parameter ideals
Catalin Ciuperca, Florian Enescu
We establish an inequality involving colengths of the tight closure of ideals of systems of parameters in local rings with some mild conditions. As an application, we prove and ref…
math.AC2003
Strong test modules and multiplier ideals
Florian Enescu
We introduce the notion of strong test module and show that a large number of such modules appear in the tight closure theory of complete domains: the test ideal (this has already…