A simple proof of some generalized principal ideal theorems-Reference-Cited by-同舟云学术

A simple proof of some generalized principal ideal theorems

Published:2001-02-22 Issue:9 Volume:129 Page:2535-2540
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Eisenbud David,Huneke Craig,Ulrich Bernd

Abstract

Using symmetric algebras we simplify ( ( and slightly strengthen ) ) the Bruns-Eisenbud-Evans “generalized principal ideal theorem” on the height of order ideals of nonminimal generators in a module. We also obtain a simple proof and an extension of a result by Kwieciński, which estimates the height of certain Fitting ideals of modules having an equidimensional symmetric algebra.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-09/S0002-9939-01-05877-4/S0002-9939-01-05877-4.pdf

Reference10 articles.

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4. D. Eisenbud, C. Huneke, and B. Ulrich: Order ideals and a generalized Krull height theorem. Preprint.

5. D. Eisenbud, C. Huneke, and B. Ulrich: Heights of ideals of minors. In preparation.

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