Projective dimension and Castelnuovo–Mumford regularity of t-spread ideals

DOI10.1142/S0218196722500357OpenAlexW4225155204MaRDI QIDQ5864705

Antonino Ficarra, Luca Amata, Marilena Crupi

Publication date: 8 June 2022

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07084

zbMATH Keywords

regularityTaylor resolutionmonomial idealsedge idealsKoszul resolutionminimal graded resolution\(t\)-spread ideals

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Syzygies, resolutions, complexes and commutative rings (13D02) Graded rings and modules (associative rings and algebras) (16W50) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

Computational methods for t-spread monomial ideals ⋮ Vector-spread monomial ideals and Eliahou-Kervaire type resolutions ⋮ Classification of Cohen-Macaulay \(t\)-spread lexsegment ideals via simplicial complexes

Uses Software

• Macaulay2

Cites Work

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• Castelnuovo-Mumford regularity and projective dimension of a squarefree monomial ideal
• On the arithmetical rank of monomial ideals
• Squarefree lexsegment ideals
• Computation of graded ideals with given extremal Betti numbers in a polynomial ring
• Extremal Betti numbers and applications to monomial ideals
• 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
• Stanley depth and size of a monomial ideal
• Binomial Ideals
• Monomial Ideals
• Kruskal-Katona Theorem for t-spread strongly stable ideals
• t-Spread strongly stable monomial ideals*
• Restricted classes of veronese type ideals and algebras

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