Geodesic
Semiprime rings with nilpotent Lie ring of inner derivations
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 13 (2014).

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We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions 
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Kular, Kamil. Semiprime rings with nilpotent Lie ring of inner derivations. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 13 (2014). http://geodesic.mathdoc.fr/item/AUPCM_2014_13_a7/

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