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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Derivations and the integral closure of ideals


Authors: Reinhold Hübl and Appendix by Irena Swanson
Journal: Proc. Amer. Math. Soc. 127 (1999), 3503-3511
MSC (1991): Primary 13N05, 13J10
Published electronically: May 13, 1999
MathSciNet review: 1618698
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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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Additional Information

Reinhold Hübl
Affiliation: NWF I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany
Email: Reinhold.Huebl@Mathematik.Uni-Regensburg.de

Appendix by Irena Swanson
Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
Email: iswanson@mnsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04968-0
PII: S 0002-9939(99)04968-0
Keywords: K\"{a}hler differentials, derivations
Received by editor(s): November 20, 1997
Received by editor(s) in revised form: February 24, 1998
Published electronically: May 13, 1999
Additional Notes: The author was partially supported by a Heisenberg–Stipendium of the DFG
The author of the appendix was partially supported by the National Science Foundation.
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1999 American Mathematical Society