Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 1
A Result On Generalized Derivations in Prime Rings ABSTRACT | FULL TEXT
- Sayfa
- 81–85
- DOI
- —
Özet
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Abstract
Let R be a prime ring, H a generalized derivation of R, L a noncentralLie ideal of R, and 0 = a ∈ R. Suppose that aus (H(u))n u t = 0 forall u ∈ L, where s, t ≥ 0 and n > 0 are fixed integers. If s = 0, thenH(x) = bx for all x ∈ R, where b ∈ U , the right Utumi quotient ringof R, with ab = 0 unless R satisfies s, the standard identity in fourvariables. If s > 0, then H = 0 unless R satisfies s.