Kruskal-Katona Theorem for t-spread strongly stable ideals

2018/11/02 by Claudia Andrei-Ciobanu, Andrei-Ciobanu, Claudia
Mathematics · #Advanced Topics in Algebra #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1811.00798

openalex publication_date 2018/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that any t-spread strongly stable ideal has a unique t-spread lex ideal with the same f-vector. We also characterize the possible f-vectors of t-spread strongly stable ideals in the "t-spread" analogue of Kruskal-Katona theorem.

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