On Multivariate Rational Function Decomposition
作者： Jaime Gutierrez , Rosario Rubio , David Sevilla
关键词: Mathematics 、 Decomposition (computer science) 、 Discrete mathematics 、 Rational function 、 Multivariate statistics 、 Generator (mathematics) 、 Algebra 、 Field (mathematics) 、 Transcendence degree
摘要: In this paper we discuss several notions of decomposition for multivariate rational functions, and present algorithms decomposing functions over an arbitrary field. We also provide a very efficient method to decide if unirational field has transcendence degree one, in the affirmative case compute generator.
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