Algebraic Properties of Universal Squarefree Lexsegment Ideals

DOI10.1142/S1005386716000316zbMath1337.13001arXiv1409.8026OpenAlexW2268203792MaRDI QIDQ2809252

Marilena Crupi, Monica La Barbiera

Publication date: 27 May 2016

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8026

zbMATH Keywords

minimal resolutionsmonomial idealsstandard invariants\(s\)-sequencessquarefree lexicographic ideals

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Extremal Betti numbers of graded modules ⋮ Squarefree revlex ideals ⋮ Squarefree Monomial Modules and Extremal Betti Numbers

Cites Work

• An extended Euler-Poincaré theorem
• Squarefree lexsegment ideals
• Extremal Betti numbers of graded ideals
• On certain monomial sequences
• Extremal Betti numbers and applications to monomial ideals
• Reverse lexicographic and lexicographic shifting
• Mixed Product Ideals Generated by s-Sequences
• On the bettinumbers of finite pure and linear resolutions
• A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions
• \(s\)-sequences and symmetric algebras

This page was built for publication: Algebraic Properties of Universal Squarefree Lexsegment Ideals