%0 Journal Article
%T On Prime-Gamma-Near-Rings with Generalized Derivations
%A Kalyan Kumar Dey
%A Akhil Chandra Paul
%A Isamiddin S. Rakhimov
%J International Journal of Mathematics and Mathematical Sciences
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/625968
%X 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 ([,])=0 or ([,])=¡À[,] or 2()¡Ê() for all ,¡Ê, ¡Ê¦£, then  is a commutative ¦£-ring. (ii) If ¡Ê and [(),]=0 for all ¡Ê, ¡Ê¦£, then ()¡Ê(). (iii) If (,£¿) acts as a generalized derivation on , then =0 or =0.
%U http://www.hindawi.com/journals/ijmms/2012/625968/