A Simple Proof of some Generalized Principal Ideal Theorems
arXiv:math/0209186
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 KwieciÅski, which estimates the height of certain Fitting ideals of modules having an equidimensional symmetric algebra.
6 pages, LaTeX