International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 29513, 5 pages
On Generalized Periodic-Like Rings
1Department of Mathematics, Brock University, St. Catharines L2S 3A1, Ontario, Canada
2Department of Mathematics, University of California, Santa Barbara 93106, CA, USA
Received 21 November 2006; Accepted 27 February 2007
Academic Editor: Francois Goichot
Copyright © 2007 Howard E. Bell and 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.
Let be a ring with center
, Jacobson radical , and set of all nilpotent
elements. Call generalized periodic-like if for all there exist positive integers , of opposite parity for which . We identify some basic properties of such rings and prove some results on commutativity.