Extremal Betti numbers of graded modules

DOI10.1016/j.jpaa.2015.11.006zbMath1348.13011arXiv1603.00011OpenAlexW2963606068MaRDI QIDQ908327

Marilena Crupi

Publication date: 4 February 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00011

zbMATH Keywords

extremal Betti numbersstrongly stable submodule

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)

Related Items (5)

A numerical characterization of the extremal Betti numbers of \(t\)-spread strongly stable ideals ⋮ A constructive method for standard Borel fixed submodules with given extremal Betti numbers ⋮ Computing general strongly stable modules with given extremal Betti numbers ⋮ Computation of graded ideals with given extremal Betti numbers in a polynomial ring ⋮ ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS

Uses Software

• CoCoA
• Macaulay2

Cites Work

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• Deformation classes of graded modules and maximal Betti numbers
• Minimal resolutions of some monomial submodules
• Minimal resolutions of some monomial ideals
• Monomial modules and graded Betti numbers
• Some features of \(CoCoA 3\)
• Extremal Betti numbers of graded ideals
• Extremal Betti numbers and applications to monomial ideals
• Squarefree revlex ideals
• Algebraic Properties of Universal Squarefree Lexsegment Ideals
• Squarefree Monomial Modules and Extremal Betti Numbers
• The possible extremal Betti numbers of a homogeneous ideal

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