Artemovych, Orest D.; Kular, Kamil On the Lie ring of derivations of a semiprime ring. (English) Zbl 1315.16036 Algebra Discrete Math. 18, No. 2, 157-162 (2014). Summary: We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent. MSC: 16W25 Derivations, actions of Lie algebras 16W10 Rings with involution; Lie, Jordan and other nonassociative structures 16N60 Prime and semiprime associative rings Keywords:Lie rings of derivations; semiprime rings; commutativity theorems; nilpotency; Lie nilpotent rings PDF BibTeX XML Cite \textit{O. D. Artemovych} and \textit{K. Kular}, Algebra Discrete Math. 18, No. 2, 157--162 (2014; Zbl 1315.16036) OpenURL