On closed rational functions in several variables

• Datum: 2018
• Hauptverfasser: Petravchuk, Anatoliy P., Iena, Oleksandr G.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: closed rational functions; irreducible polynomials; 26C15
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/848
• Назва журналу: Algebra and Discrete Mathematics

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...