Stanley depth of complete intersection monomial ideals and upper-discrete partitions

2008/05/29 by Yi-Huang Shen, Shen, YiHuang · 2 citations
Computer Science · Mathematics · #06A07 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary 13C13 #Secondary 05E99

paper · pdf · doi:10.48550/arxiv.0805.4461

openalex publication_date 2008/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let I be an m-generated complete intersection monomial ideal in S=K[x₁,...,x_n]. We show that the Stanley depth of I is n-\floor(m)/(2). We also study the upper-discrete structure for monomial ideals and prove that if I is a squarefree monomial ideal minimally generated by 3 elements, then the Stanley depth of I is n-1.

Cited by

• On the Stanley length of monomial ideals
• Stanley depth of monomial ideals in three variables

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