International Journal of Mathematics and Mathematical Sciences

Volume 14 (1991), Issue 4, Pages 683-688

doi:10.1155/S0161171291000911

## Commutativity theorems for rings with constraints on commutators

# Hamza A. S. Abujabal

Department of Mathematics, Faculty of Science, King Abdul Aziz University, P. O. Box 31464, Jeddah 21497, Saudi Arabia

Received 29 August 1989; Revised 19 April 1991

Copyright © 1991 Hamza A. S. Abujabal. 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.

#### Abstract

In this paper, we generalize some well-known commutativity theorems for
associative rings as follows: Let