A criterion for a monomial ideal to have a linear resolution in characteristic 2

zbMath1308.05111arXiv1306.2857MaRDI QIDQ2263777

Sara Faridi, E. Connon

Publication date: 19 March 2015

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2857

zbMATH Keywords

monomial idealsimplicial complexchordal graphedge ideallinear resolutionsimplicial homologyfacet idealStanley-Reisner complexchordal hypergraphchorded complexFröberg's theorem

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items (4)

Monomial ideals with 3-linear resolutions ⋮ Stability of Betti numbers under reduction processes: towards chordality of clutters ⋮ Chordality, \(d\)-collapsibility, and componentwise linear ideals ⋮ Chordality of clutters with vertex decomposable dual and ascent of clutters

Cites Work

• Unnamed Item
• Monomial ideals with 3-linear resolutions
• Chordal and sequentially Cohen-Macaulay clutters
• Rings with monomial relations having linear resolutions
• Resolutions of Stanley-Reisner rings and Alexander duality
• Chorded complexes and a necessary condition for a monomial ideal to have a linear resolution
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Regularity and Free Resolution of Ideals Which Are Minimal To $d$-Linearity
• A class of hypergraphs that generalizes chordal graphs

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