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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 2, Pages 157–162 (Mi adm488)  
RESEARCH ARTICLE

On the Lie ring of derivations of a semiprime ring

Orest D. Artemovych, Kamil Kular

Institute of Mathematics, Cracow University of Technology
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Abstract: We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent.
Keywords: semiprime ring, nilpotent Lie ring, derivation.
Received: 10.07.2014
Revised: 10.10.2014
Bibliographic databases:
Document Type: Article
MSC: Primary 16W10; Secondary 16N60, 16W25
Language: English
Citation: Orest D. Artemovych, Kamil Kular, “On the Lie ring of derivations of a semiprime ring”, Algebra Discrete Math., 18:2 (2014), 157–162
Citation in format AMSBIB
\Bibitem{ArtKul14}
\by Orest~D.~Artemovych, Kamil~Kular
\paper On the Lie ring of derivations of a semiprime ring
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 2
\pages 157--162
\mathnet{http://mi.mathnet.ru/adm488}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3352706}
\zmath{https://zbmath.org/?q=an:1315.16036}
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