Science and Education Publishing Journal of Mathematical Sciences and Applications 2 3 2014 08 27 Some Results on the Identity d(x) = λx + ζ(x) 28 32 EN Mehsin Jabel Atteya Department of Mathematics ,College of Education ,Al-Mustansiriyah University, Baghdad, IRAQ JMSA2014231 10.12691/jmsa-2-3-1 2014 05 09 2014 05 30 2014 08 27 The main purpose of this paper is study and investigate some results concerning a derivation d on a 2-torsion free semiprime ring R with the center Z(R),when R admits d to satisfy some conditions, then there existλC and an additive mapping ζ: R ơC such thatd(x) = λx + ζ(x) for all xR.