Shifting operations and completely t–spread lexsegment ideals

DOI10.1080/00927872.2022.2029878zbMath1492.13029arXiv2201.04595OpenAlexW4210802690MaRDI QIDQ5080214

Antonino Ficarra, Marilena Crupi

Publication date: 31 May 2022

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

Full work available at URL: https://arxiv.org/abs/2201.04595

zbMATH Keywords

monomial idealsgraded resolutions\(t\)-spread ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Graded rings (13A02) Polynomials over commutative rings (13B25) Combinatorial aspects of commutative algebra (05E40)

Related Items (4)

Some homological properties of Borel type ideals ⋮ Linear resolutions of t-spread lexsegment ideals via Betti splittings ⋮ 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

• Unnamed Item
• Minimal resolutions of some monomial ideals
• Squarefree lexsegment ideals
• Lexsegment ideals with linear resolution
• Koszul cycles and Eliahou-Kervaire type resolutions
• A numerical characterization of the extremal Betti numbers of \(t\)-spread strongly stable ideals
• Completely lexsegment ideals
• Monomial Ideals
• ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS
• Kruskal-Katona Theorem for t-spread strongly stable ideals
• t-Spread strongly stable monomial ideals*
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function

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