2010/03/15 by Louiza Fouli, Fouli, Louiza, Craig Huneke +1
Computer Science · Mathematics · #13A35 #13C40 #13D45 #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:13A35 #msc:13C40 #msc:13D45
paper · pdf · doi:10.48550/arxiv.1003.3046
15 pages, submitted for publication.
arxiv created 2010/03/15 · openalex publication_date 2010/03/15 · arxiv updated 2010/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.