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

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• Main Author: Ikehata, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154870
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On separable and H-separable polynomials in skew polynomial rings of several variables / S.Ikehata // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 87–85. — Бібліогр.: 13 назв. — англ.

Let B be a ring with 1, and {ρ1,⋯,ρe} a set of automorphisms of B. Let B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] be the skew polynomial ring of automorphism type. In this paper, we shall give equivalent conditions that the residue ring of B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] by the ideal generated by a set {Xm11−u1,⋯,Xmee−ue} t...