What is a system of parameters?

Details What is a system of parameters? What is a system of parameters?

2010-03-15

arxiv.org/abs/1003.3046v1

Mathematics

Commutative Algebra

15 pages, submitted for publication.

Scientific paper

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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