Generalized Derivations Commuting on Lie Ideals in Prime Rings
Tóm tắt
Let R be a prime ring of characteristic different from 2, U its Utumi quotient ring, C its extended centroid, L a non-central Lie ideal of R and F, G and H three generalized derivations of R. If
$$\begin{aligned}{}[F(u)G(u)-uH(u),u]=0 \end{aligned}$$
for all
$$u \in L$$
, then one of the following holds:
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