Integral closure of ideals in excellent local rings

Details Integral closure of ideals in excellent local rings Integral closure of ideals in excellent local rings

2002-10-28

arxiv.org/abs/math/0210436v1

Journal of Algebra, 187 (1997), 422-445

Mathematics

Commutative Algebra

Theorem 2.7 in the published version is wrong (we thank Ray Heitmann for pointing it out). This is a corrected version (the ma

Scientific paper

Let R be an excellent local ring, m its maximal ideal and I an ideal. Then
there exists a positive integer c such that for all integers n, the integral
closure of (I + m^n) is contained in m^(n/c) + the integral closure of I.
In the proof, a version of the linear Artin approximation theorem is proved.

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