International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 490316, 5 pages
On Prime Near-Rings with Generalized Derivation
Department of Mathematics, Faculty of Mathematics and Science, Brock University, St. Catharines, Ontario, L2S 3A1, Canada
Received 29 November 2007; Accepted 25 February 2008
Academic Editor: Francois Goichot
Copyright © 2008 Howard E. Bell. 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 3-prime 2-torsion-free zero-symmetric left near-ring with multiplicative center . We prove that if admits a nonzero generalized derivation such that , then is a commutative ring. We also discuss some related properties.