Powers of t-spread principal Borel ideals

2018/06/20 by Claudia Andrei, Andrei, Claudia, Viviana Ene +3 · 2 citations
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1806.07828

openalex publication_date 2018/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that t-spread principal Borel ideals are sequentially Cohen-Macaulay and study their powers. We show that these ideals possess the strong persistence property and compute their limit depth.

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• Criteria for the presence of the maximal ideal in the set of associated primes
• Principal vector-spread Borel ideals

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