Bounded regularity

DOI10.1016/j.jalgebra.2014.09.029zbMath1304.13024OpenAlexW4205593132MaRDI QIDQ479798

Claus Diem

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.09.029

zbMATH Keywords

regularitysyzygiespolynomial ringKoszul complexHilbert seriesBetti numbersFröberg's conjecture

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

New complexity estimation on the rainbow-band-separation attack ⋮ Homological characterization of bounded \(\mathbb{F}_2\)-regularity ⋮ On the existence of homogeneous semi-regular sequences in \(\mathbb{F}_2[X_1,\ldots,X_n/(X_1^2,\ldots,X_n^2)\)]

Uses Software

• F5C

Cites Work

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• F5C: A variant of Faugère's F5 algorithm with reduced Gröbner bases
• Generic sequences of polynomials
• Hilbert functions of graded algebras
• Syzygies of semi-regular sequences
• Errata for ``Syzygies of semi-regular sequences
• An inequality for Hilbert series of graded algebras.
• The Geometry of Syzygies
• Modifying Faugère's F5 algorithm to ensure termination

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