Abstract
Let M be a 2-torsion free prime Γ-ring. Let U be a Lie ideal of M such that uαu ∈ U, for all u ∈ U and α ∈ Γ. If d : M → M is an additive mapping such that d(uαu) = 2uαd(u), for all u ∈ U and α ∈ Γ, then d(uαv) = uαd(v) + vαd(u), for all u, v ∈ U and α ∈ Γ.

A. K. Halder, A. C. Paul. (2012) Jordan Left Derivations on Lie Ideals of Prime Γ−rings, Punjab University Journal of Mathematics, Volume 44, Issue 1.
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