Degree bounds for Gröbner bases of modules

DOI10.1016/j.jsc.2021.11.003zbMath1479.13034arXiv1905.07517OpenAlexW3217095606MaRDI QIDQ2066953

Yihui Liang

Publication date: 17 January 2022

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07517

zbMATH Keywords

Gröbner basesdegree boundHilbert functionscone decompositions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Uses Software

• SINGULAR

Cites Work

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• A sparse effective Nullstellensatz
• A Pommaret bases approach to the degree of a polynomial ideal
• Dimension-dependent bounds for Gröbner bases of polynomial ideals
• The Structure of Polynomial Ideals and Gröbner Bases
• Dimension-Dependent Upper Bounds for Gröbner Bases

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