Site logo

Completely generalized right primary rings and their extensions

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

A ring RR is said to be a completely generalized right primary ring (c.g.r.pc.g.r.p ring) if a,b∈Ra,b∈R with ab=0ab=0 implies that a=0a=0 or bb is nilpotent. Let now RR be a ring and σσ an automorphism of RR. In this paper we extend the property of a completely generalized right primary ring (c.g.r.pc.g.r.p ring) to the skew polynomial ring R[x;σ]R[x;σ].

Subscribe to TheGufo Newsletter​