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Jordan Right ( ,θ )-derivation of prime Rings | ||
| journal of al-qadisiyah for pure science(quarterly) | ||
| Article 1, Volume 7, Issue 1, 2007, Pages 297-309 PDF (0 K) | ||
| Author | ||
| Farhan D. Shiya | ||
| Abstract | ||
| Abstract Let R be a2-torsion free prime ring. Suppose that ,θ are automorphisms of R. In the present paper it is established that if R admits non zero Jordan right ( θ,θ )derivation, then R is commutative .Further ,as an corollary of this result it is show that every Jordan right ( θ,θ ) derivation on R is a right ( θ,θ )-derivation on R . Finally ,in case of an arbitrary prime ring it is proved that if R admits a right ( ,θ ) –derivation which acts also as a homorphisms on anon zero ideal of R ,then d=0 on R where d: R→R is a right (θ,θ )-derivation on R | ||
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