Some Results on the Identity d(x) = λx + ζ(x)

eng Science and Education Publishing Journal of Mathematical Sciences and Applications 2014-08-27 2 3 28 32 10.12691/jmsa-2-3-1 JMSA2014231 article Some Results on the Identity d(x) = λx + ζ(x) Mehsin Jabel Atteya mehsinatteya@yahoo.com 1 Department of Mathematics ,College of Education ,Al-Mustansiriyah University, Baghdad, IRAQ 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 exist λC and an additive mapping ζ: R ơC such that d(x) = λx + ζ(x) for all xR. http://pubs.sciepub.com/jmsa/2/3/1/jmsa-2-3-1.pdf semiprime rings derivations generalized derivation biadditive mapping