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On Right (σ,τ)- Derivation of Prime Rings | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 54, Issue 4, 2013, Pages 944-947 | ||
| Authors | ||
| A. H. Majeed; Asawer D. Hamdi | ||
| Abstract | ||
| Let R be a prime ring and δ a right (σ,τ)-derivation on R. In the present paper we will prove the following results: First, suppose that R is a prime ring and I a non-zero ideal of R if δ acts as a homomorphism on I then δ=0 on R, and if δ acts an anti- homomorphism on I then either δ=0 on R or R is commutative. Second, suppose that R is 2-torsion-free prime ring and J a non-zero Jordan ideal and a subring of R, if δ acts as a homomorphism on J then δ=0 on J, and if δ acts an anti- homomorphism on J then either δ=0 on J or J Z(R). | ||
| Keywords | ||
| prime rings; derivations; right | ||
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