Some improvements for the algorithm of Gröbner bases over dual valuation domain

DOI10.3934/era.2023203zbMath1530.13046MaRDI QIDQ6153104

Licui Zheng, Jin-wang Liu, Dong-Mei Li

Publication date: 13 February 2024

Published in: Electronic Research Archive (Search for Journal in Brave)

zbMATH Keywords

Gröbner basesS-polynomialsdual Noetherian valuation domain

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Cites Work

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• Standard bases in mixed power series and polynomial rings over rings
• On the leading terms ideals of polynomial ideals over a valuation ring
• An algorithm for computing a Gröbner basis of a polynomial ideal over a ring with zero divisors
• Corrigendum to ``Dynamical Gröbner bases and to ``Dynamical Gröbner bases over Dedekind rings
• Dynamical Gröbner bases
• A Gröbner basis algorithm for ideals over zero-dimensional valuation rings
• Solving multivariate polynomial matrix Diophantine equations with Gröbner basis method
• An improvement for GVW
• A new signature-based algorithms for computing Gröbner bases
• A zero-dimensional valuation ring is 1-Gröbner
• Grobner bases over a dual valuation domain

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