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E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093-1100.

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

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


Journal of Mathematical Sciences and Applications. 2014, Vol. 2 No. 3, 28-32
DOI: 10.12691/jmsa-2-3-1
Copyright © 2014 Science and Education Publishing

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.

Correspondence to: Mehsin  Jabel Atteya, Department of Mathematics ,College of Education ,Al-Mustansiriyah University, Baghdad, IRAQ. Email: mehsinatteya@yahoo.com

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.

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