RIGHT (σ,τ)-DERIVATIONS ON LEFT IDEALS | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 53, Issue 3, August 2012, Pages 608-611 | ||
| Author | ||
| Asawer D. Hamdi | ||
| Abstract | ||
| Let R be a prime ring and I a nonzero left Ideal of R which is a semi prime as a ring. For a right (σ,τ) – derivations δ:R → R, we prove the following results: (1) If δ acts as a homomorphism on I, then δ= 0 on R. (2) If δ acts as an anti- homomorphism on I, then either δ = 0 on R or I Z(R). | ||
| Keywords | ||
| derivation; right derivation; right | ||
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