On separable and \(H\)-separable polynomials in skew polynomial rings of several variables

• Date: 2018
• Main Author: Ikehata, Shuichi
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: \(H\)-separable polynomial; separable extension; skew polynomial ring; 16S30; 16W20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/652
• Journal Title: Algebra and Discrete Mathematics

Let \(B\) be a ring with 1, and \(\{\rho_1, \cdots , \rho_e \}\) a set of automorphisms of \(B\). Let \(B[X_1, \cdots , X_e; \rho_1, \cdots , \rho_e; \{ u_{ij} \}]\) be the skew polynomial ring of automorphism type. In this paper, we shall give equivalent conditions that the residue ring of \(B[X_1,...