Prime radical of Ore extensions over δ -rigid rings

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Author: Bhat, V.K.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153379
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Prime radical of Ore extensions over δ
 -rigid rings / V.K. Bhat // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 14–19. — Бібліогр.: 13 назв. — англ.

Let R be a ring. Let σ be an automorphism of R and δ be a σ-derivation of R. We say that R is a δ-rigid ring if aδ(a)∈P(R) implies a∈P(R), a∈R; where P(R) is the prime radical of R. In this article, we find a relation between the prime radical of a δ-rigid ring R and that of R[x,σ,δ]. We generalize...