A NOTE ON LIE IDEALS OF PRIME RINGS Shuliang, Huang;
Let R be a 2-torsion free prime ring, U a nonzero Lie ideal of R such that for all . In the present paper, it is proved that if d is a nonzero derivation and [[d(u), u], u] = 0 for all , then . Moreover, suppose that , , are nonzero derivations of R such that for all x, , then . Finally, some examples are given to demonstrate that the restrictions imposed on the hypothesis of the above results are not superfluous.
prime ring;derivation;Lie ideal;
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