What is a system of parameters?
arXiv:1003.3046
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.
15 pages, submitted for publication.