On computing uniform Gröbner bases for ideals generated by polynomials with parametric exponents

DOI10.1007/s11424-016-4297-zzbMath1388.13056OpenAlexW2489811909MaRDI QIDQ328239

Lanlan Liu, Meng Zhou

Publication date: 20 October 2016

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-016-4297-z

zbMATH Keywords

parametric exponentpolynomial idealreduced term orderuniform Gröbner basis

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)

Cites Work

• On computing Gröbner bases in rings of differential operators
• Computing difference-differential dimension polynomials by relative Gröbner bases in difference-differential modules
• Comprehensive Gröbner bases
• Gröbner bases in difference-differential modules and difference-differential dimension polynomials
• Uniform Gröbner bases for ideals generated by polynomials with parametric exponents
• Gröbner bases in difference-differential modules
• On systems of algebraic equations with parametric exponents