Generalized periodic rings

Let R be a ring, and let N and C denote the set of nilpotents and the center of R, respectively. R is called generalized periodic if for every x∈R\(N⋃C), there exist distinct positive integers m, n of opposite parity such that xn−xm∈N⋂C. We prove that a generalized periodic ring always has the set N...

Full description

Bibliographic Details
Main Authors: Howard E. Bell, Adil Yaqub
Format: Article
Language:English
Published: Hindawi Limited 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171296000130