A constructive method for standard Borel fixed submodules with given extremal Betti numbers

DOI10.3390/math5040056zbMath1397.13002OpenAlexW2765131806MaRDI QIDQ1649040

Marilena Crupi

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math5040056

zbMATH Keywords

graded modulesextremal Betti numbersmonomial modulesminimal graded resolution

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Polynomials over commutative rings (13B25) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (2)

Computing general strongly stable modules with given extremal Betti numbers ⋮ ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS

Uses Software

• CoCoALib
• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Deformation classes of graded modules and maximal Betti numbers
• Minimal resolutions of some monomial submodules
• Extremal Betti numbers of graded modules
• Minimal resolutions of some monomial ideals
• Extremal Betti numbers of graded ideals
• Extremal Betti numbers and applications to monomial ideals
• Computing general strongly stable modules with given extremal Betti numbers
• Squarefree Monomial Modules and Extremal Betti Numbers
• Monomial Ideals
• The possible extremal Betti numbers of a homogeneous ideal
• CoCoALib: A C++ Library for Computations in Commutative Algebra... and Beyond

This page was built for publication: A constructive method for standard Borel fixed submodules with given extremal Betti numbers