International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 10, Pages 667-672
On structure of certain periodic rings and near-rings
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 30356, Jeddah 21477, Saudi Arabia
Received 22 November 1999; Revised 23 March 2000
Copyright © 2000 Moharram A. Khan. 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.
The aim of this work is to study a decomposition theorem for rings
satisfying either of the properties or , where are nonnegative
integers and vary with the pair of
elements , and further investigate the commutativity of such
rings. Other related results are obtained for near-rings.