A note on Stanley conjecture for monomial ideals

2011/11/07 by Cimpoeas, Mircea
#13P10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1111.1550

Abstract

In this paper, we prove that if I⊂ S:=K[x₁,...,x_n] is a monomial ideal then I and S/I satisfy the Stanley conjecture when I has a small number of generators, with respect to \depth(S/I) and max\|P|: P∈\Ass(S/I)\. In particular, if I be a monomial almost complete intersection ideal in S, then Stanley's Conjecture holds for S/I and I.

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