International Journal of Mathematics and Mathematical Sciences

Volume 25 (2001), Issue 5, Pages 299-304

doi:10.1155/S0161171201005051

## Structure of weakly periodic rings with potent extended commutators

# Adil Yaqub

Department of Mathematics, University of California, Santa Barbara 93106, CA, USA

Received 1 July 1999; Revised 3 May 2000

Copyright © 2001 Adil Yaqub. 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

A well-known theorem of Jacobson (1964, page 217) asserts that a
ring *weakly periodic* if every