What is a system of parameters?
Commutative Algebra
2010-03-17 v1
Abstract
In this paper we discuss various refinements and generalizations of a theorem of Sankar Dutta and Paul Roberts. Their theorem gives a criterion for elements in a -dimensional Noetherian Cohen-Macaulay local ring to be a system of parameters, i.e., to have height . We chiefly remove the assumption that the ring be Cohen-Macaulay and discuss similar theorems.
Cite
@article{arxiv.1003.3046,
title = {What is a system of parameters?},
author = {Louiza Fouli and Craig Huneke},
journal= {arXiv preprint arXiv:1003.3046},
year = {2010}
}
Comments
15 pages, submitted for publication.