Structure of certain weakly periodic rings and other rings with condition on elements - by Nadine Jawad Ghandour

Abstract

First, we give the structure of certain weakly periodic rings. We prove that a weakly periodic ring R having the property that for all elements x. y in R there exist a word wx y(x, y) and a positive integer k = k(x, y) such that w[x, y]̂ - 0, must be peri