Sortable Freiman ideals

2019/09/24 by Jürgen Herzog, Herzog, Jürgen, Guangjun Zhu +1
Computer Science · Mathematics · #13H10 #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary 13C99 #Secondary 13H05

paper · pdf · doi:10.48550/arxiv.1909.10659

openalex publication_date 2019/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper it is shown that a sortable ideal I is Freiman if and only if its sorted graph is chordal. This characterization is used to give a complete classification of Freiman principal Borel ideals and of Freiman Veronese type ideals with constant bound.

Citations

• Monomial ideals whose powers have a linear resolution
• Square-free Groebner degenerations

Related

• Freiman ideals
• The relevance of Freiman's theorem for combinatorial commutative algebra
• Freiman Borel type ideals
• Freiman t-spread principal Borel ideals
• Chorded complexes and a necessary condition for a monomial ideal to have\n a linear resolution