F-rational rings and the integral closures of ideals

Details F-rational rings and the integral closures of ideals F-rational rings and the integral closures of ideals

2002-11-20

arxiv.org/abs/math/0211329v1

Michigan Math. J., vol 49 (2001), pp. 3-11

Mathematics

Commutative Algebra

This is a pre-galleys version of the paper, but theorem numbers should be the same. 9 pages

Scientific paper

We show in this paper that the Briancon-Skoda theorem holds for all ideals in F-rational rings of positive prime characteristic, and also in rings with rational singularities which are of finite type over a field of characteristic 0. Moreover, in Gorenstein F-rational rings of characteristic p we show that in many cases the bound given in the Briancon-Skoda theorem may be improved by at least one.

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