Squarefree Monomial Modules and Extremal Betti Numbers

DOI10.1142/S100538671600050XzbMath1345.05116arXiv1410.0795OpenAlexW2963719383MaRDI QIDQ2822089

Marilena Crupi, Carmela Ferrò

Publication date: 26 September 2016

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

Full work available at URL: https://arxiv.org/abs/1410.0795

zbMATH Keywords

graded modulesminimal graded resolutionssquarefree monomial modules

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 (7)

ExteriorModules: a package for computing monomial modules over an exterior algebra ⋮ A numerical characterization of the extremal Betti numbers of \(t\)-spread strongly stable ideals ⋮ Unnamed Item ⋮ A constructive method for standard Borel fixed submodules with given extremal Betti numbers ⋮ Computing general strongly stable modules with given extremal Betti numbers ⋮ Extremal Betti numbers of graded modules ⋮ ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS

Cites Work

• Minimal resolutions of some monomial submodules
• Minimal resolutions of some monomial ideals
• Monomial modules and graded Betti numbers
• Squarefree lexsegment ideals
• Extremal Betti numbers of graded ideals
• Shifting operations and graded Betti numbers
• Extremal Betti numbers and applications to monomial ideals
• Algebraic Properties of Universal Squarefree Lexsegment Ideals

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