Derivations and the integral closure of ideals

Hübl, Reinhold; Irena Swanson, Appendix by

doi:10.1090/S0002-9939-99-04968-0

Derivations and the integral closure of ideals
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by Reinhold Hübl and Appendix by Irena Swanson PDF

Proc. Amer. Math. Soc. 127 (1999), 3503-3511 Request permission

Abstract:

Let $(R, \mathfrak {m} )$ be a complete local domain containing the rationals. Then there exists an integer $l$ such that for any ideal $I \subseteq R$, if $f \in \mathfrak {m}$, $f \notin I^{n}$, then there exists a derivation $\delta$ of $R$ with $\delta (f) \notin I^{n+l}$.

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