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

Mehsin Jabel Atteya^1,

¹Department of Mathematics ,College of Education ,Al-Mustansiriyah University, Baghdad, IRAQ

Cite this paper:
Mehsin Jabel Atteya. Some Results on the Identity d(x) = λx + ζ(x). Journal of Mathematical Sciences and Applications. 2014; 2(3):28-32. doi: 10.12691/jmsa-2-3-1

Abstract

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 →C such that d(x) = λx + ζ(x) for all x∈R.

Keywords:
semiprime rings derivations generalized derivation biadditive mapping

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