Generic Gröbner basis of a parametric ideal and its application to a comprehensive Gröbner system
From MaRDI portal
Publication:6139279
DOI10.1007/s00200-023-00620-8zbMath1530.13045OpenAlexW4385542934MaRDI QIDQ6139279
Publication date: 18 January 2024
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00200-023-00620-8
Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)
Cites Work
- Unnamed Item
- Unnamed Item
- Reduced Gröbner bases in polynomial rings over a polynomial ring
- On QE algorithms over an algebraically closed field based on comprehensive Gröbner systems
- Comprehensive Gröbner bases
- On the stability of Gröbner bases under specializations
- A new algorithm for discussing Gröbner bases with parameters.
- Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules
- A survey on algorithms for computing comprehensive Gröbner systems and comprehensive Gröbner bases
- The Gröbner cover
- An alternative approach to comprehensive Gröbner bases
- Canonical comprehensive Gröbner bases
- An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system
- On multivariate Hermitian quadratic forms
- Comprehensive Gröbner bases and regular rings
- Improving the DISPGB algorithm using the discriminant ideal
- Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems
- A new algorithm for computing comprehensive Gröbner systems
- A simple algorithm to compute comprehensive Gröbner bases using Gröbner bases
