Gröbner bases in difference-differential modules with coefficients in a commutative ring

DOI10.1007/s11425-012-4471-2zbMath1280.12004OpenAlexW2260133880MaRDI QIDQ1933960

Meng Zhou, Guanli Huang

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4471-2

zbMATH Keywords

Gröbner basisdifference-differential modulegeneralized term orderG-S-polynomials

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative rings of differential operators and their modules (13N10) Difference algebra (12H10) Linear operators in algebras (47C05)

Cites Work

• Unnamed Item
• On computing Gröbner bases in rings of differential operators
• Computing difference-differential dimension polynomials by relative Gröbner bases in difference-differential modules
• Gröbner bases for ideals in Laurent polynomial rings and their application to systems of difference equations
• A Gröbner basis method for modules over rings of differential operators
• Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials
• Gröbner bases with respect to several orderings and multivariable dimension polynomials
• Gröbner bases with coefficients in rings
• Gröbner bases in difference-differential modules
• Gröbner basis and the problem of contiguous relations

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