Derivations satisfying certain algebraic identities on Lie ideals
Mathematica Moravica, Tome 23 (2019) no. 2.

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Let d be a derivation of a semiprime ring R and L a nonzero Lie ideal of R. In this note, it is proved that every noncentral square-closed Lie ideal of R contains a nonzero ideal of R. Further, we use this result to characterize the conditions: $d(xy) = d(x)d(y), d(xy) = d(y)d(x)$ on L. With this, a theorem of Ali et al. [14] can be deduced.
Mots-clés : Semiprime ring, Lie ideals, derivation 
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Gurninder S. Sandhu; Deepak Kumar. Derivations satisfying certain algebraic identities on Lie ideals. Mathematica Moravica, Tome 23 (2019) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2019_23_2_a6/