On multivariate rational function decomposition (Q697481)

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scientific article; zbMATH DE number 1801672
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On multivariate rational function decomposition
scientific article; zbMATH DE number 1801672

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    On multivariate rational function decomposition (English)
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    17 September 2002
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    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.
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    multivariate rational functions
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    algorithms
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    unirational field
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    transcendence degree one
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