A Simple Proof of some Generalized Principal Ideal Theorems

David Eisenbud; Craig Huneke; Bernd Ulrich

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A Simple Proof of some Generalized Principal Ideal Theorems

David Eisenbud·Craig Huneke·Bernd Ulrich

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Abstract

Using symmetric algebras we simplify (and slightly strengthen) the Bruns-Eisenbud-Evans "generalized principal ideal theorem" on the height of order ideals of non-minimal 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.

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David Eisenbud, Craig Huneke, Bernd Ulrich. 2002-09-15. A Simple Proof of some Generalized Principal Ideal Theorems. https://arxiv.org/abs/math/0209186

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