
The authors discuss several notions of decomposition for multivariate rational functions, and they present algorithms for decomposing multivariate rational functions over an arbitrary field. They also provide a very efficient method to decide if a unirational field has transcendence degree one, and in the affirmative case to compute the generator.
Computational aspects and applications of commutative rings, unirational field, Transcendental field extensions, Computational Mathematics, Algebra and Number Theory, Computational aspects of field theory and polynomials, multivariate rational functions, algorithms, transcendence degree one
Computational aspects and applications of commutative rings, unirational field, Transcendental field extensions, Computational Mathematics, Algebra and Number Theory, Computational aspects of field theory and polynomials, multivariate rational functions, algorithms, transcendence degree one
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