On closed rational functions in several variables

Let \(\mathbb K= \bar{\mathbb K}\) be a field of characteristic zero. An element \(\varphi\in \mathbb K(x_1,\dots, x_{n})\) is called a closed rational function if the subfield \(\mathbb K(\varphi)\) is algebraically closed in the field \(\mathbb K(x_1,\dots, x_{n})\). We prove that a rational funct...

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Bibliographic Details
Date:2018
Main Authors: Petravchuk, Anatoliy P., Iena, Oleksandr G.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/848
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics