A Simple Proof of some Generalized Principal Ideal Theorems
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
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 Kwieci\'nski, which estimates the height of certain Fitting ideals of modules having an equidimensional symmetric algebra.
Cite
@article{arxiv.math/0209186,
title = {A Simple Proof of some Generalized Principal Ideal Theorems},
author = {David Eisenbud and Craig Huneke and Bernd Ulrich},
journal= {arXiv preprint arXiv:math/0209186},
year = {2007}
}
Comments
6 pages, LaTeX