Central CNZ rings

Abstract

In this note, we introduce the concept of central CNZ rings, which is a generalization of CNZ rings [1]. A ring R is called central CNZ if for any a, b ?nil(R), ab = 0 implies that ba is central, where nil(R) is the set of all nilpotent elements in R. We investigate the structure of central CNZ rings and their related properties. © 2018, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.