Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters

2014/01/06 by Yi-Huang Shen, Shen, Yi-Huang
Computer Science · Mathematics · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC #math.CO #msc:05C65 #msc:05E40

paper · pdf · doi:10.48550/arxiv.1401.1057

12 pages. Comments are welcome

arxiv created 2014/01/06 · arxiv updated 2014/01/07

Abstract

Let I be the edge ideal of a clutter C in a polynomial ring S. In this paper, we present estimations of the Stanley depth of I as well as the Stanley regularity of S/I, in terms of combinatorial data from the clutter C.

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