Classification of Cohen-Macaulay \(t\)-spread lexsegment ideals via simplicial complexes

DOI10.1215/00192082-10201831OpenAlexW4313179876MaRDI QIDQ2103559

Antonino Ficarra, Marilena Crupi

Publication date: 14 December 2022

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

Full work available at URL: https://arxiv.org/abs/2208.02175

zbMATH Keywords

Cohen-Macaulay ringsimplicial complex\(t\)-spread lexsegment idealsminimal primary decomposition

Mathematics Subject Classification ID

Graded rings (13A02) Polynomials over commutative rings (13B25) Combinatorial aspects of commutative algebra (05E40) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (2)

Linear resolutions of t-spread lexsegment ideals via Betti splittings ⋮ Vector-spread monomial ideals and Eliahou-Kervaire type resolutions

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Minimal resolutions of some monomial ideals
• Properties of lexsegment ideals
• Squarefree lexsegment ideals
• Lexsegment ideals with linear resolution
• A numerical characterization of the extremal Betti numbers of \(t\)-spread strongly stable ideals
• Gorenstein \(T\)-spread Veronese algebras
• Powers of \(t\)-spread principal Borel ideals
• Classes of Sequentially Cohen-Macaulay Squarefree Monomial Ideals
• Splittings of monomial ideals
• Completely lexsegment ideals
• Pure and Cohen–Macaulay Simplicial Complexes Associated with Squarefree Lexsegment Ideals
• Monomial Ideals
• Shifting operations and completely t–spread lexsegment ideals
• Kruskal-Katona Theorem for t-spread strongly stable ideals
• t-Spread strongly stable monomial ideals*
• Projective dimension and Castelnuovo–Mumford regularity of t-spread ideals

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