A Simple Proof of some Generalized Principal Ideal Theorems
classification
🧮 math.AC
math.AG
keywords
generalizedheightidealidealsprincipalproofsimplesymmetric
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.