Comparison of Jordan (?, ?)-Derivations and Jordan Triple (?, ?)-Derivations in Semiprime Rings
Let R be a 3!-torsion free semiprime ring, ?, ? two endomorphisms of R, d: R ? R be an additive mapping and L be a noncentral square-closed Lie ideal of R. An additive mapping d: R ? R is said to be a Jordan (?, ?) ?derivation if d(x²) = d(x)?(x) + ?(x)d(x) holds for all x, y ? R.
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