Gotzmann squarefree ideals

zbMath1286.13021arXiv1010.3194MaRDI QIDQ384312

Andrew H. Hoefel, Jeff Mermin

Publication date: 27 November 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3194

zbMATH Keywords

Hilbert functionlex idealssquarefree monomial idealsGotzmann ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (4)

Two remarks on monomial Gotzmann sets ⋮ Gotzmann monomials in four variables ⋮ Bouquets, vertex covers and edge ideals ⋮ Chordality, \(d\)-collapsibility, and componentwise linear ideals

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graded syzygies
• Lexifying ideals
• Gotzmann monomial ideals
• Gotzmann ideals of the polynomial ring
• Families of finite sets with minimum shadows
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Gotzmann theorems for exterior algebras and combinatorics
• The order-interval hypergraph of a finite poset and the König property
• Principal Borel ideals and Gotzmann ideals
• Lexlike sequences
• Connectedness of Hilbert scheme
• Gotzmann Edge Ideals
• Gotzmann lexsegment ideals
• Componentwise linear ideals
• Resolutions of monomial ideals and cohomology over exterior algebras
• Compressed ideals

This page was built for publication: Gotzmann squarefree ideals