Algebraic closure of a rational function
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Publication:2457730
DOI10.1007/BF02972683zbMath1121.13301OpenAlexW2108871824MaRDI QIDQ2457730
Publication date: 23 October 2007
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02972683
Derivations and commutative rings (13N15) Transcendental field extensions (12F20) Computational aspects in algebraic geometry (14Q99)
Related Items (8)
On the saturation of subfields of invariants of finite groups ⋮ Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time ⋮ Counting decomposable multivariate polynomials ⋮ On pairs of commuting derivations of the polynomial ring in one or two variables ⋮ Bounding the number of remarkable values via Jouanolou's theorem ⋮ Nearly optimal algorithms for the decomposition of multivariate rational functions and the extended Lüroth theorem ⋮ Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields ⋮ A recombination algorithm for the decomposition of multivariate rational functions
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