What is a system of parameters?

Fouli, Louiza; Huneke, Craig

doi:10.1090/S0002-9939-2011-10790-1

What is a system of parameters?
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by Louiza Fouli and Craig Huneke PDF

Proc. Amer. Math. Soc. 139 (2011), 2681-2696 Request permission

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 $d$ elements in a $d$-dimensional Noetherian Cohen-Macaulay local ring to be a system of parameters, i.e., to have height $d$. We chiefly remove the assumption that the ring be Cohen-Macaulay and discuss similar theorems.

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