Academic Editor: B. N. Mandal
Copyright © 2012 Kalyan Kumar Dey et al. 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 2-torsion free prime -near-ring with center . Let and be two generalized derivations on . We prove the following results: (i) if or or for all , , then is a commutative -ring. (ii) If and for all , , then . (iii) If acts as a generalized derivation on , then or .