RESEARCH ARTICLE

On the Lie ring of derivations of a semiprime ring

Orest D. Artemovych, Kamil Kular

Institute of Mathematics, Cracow University of Technology

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.

MSC: Primary 16W10; Secondary 16N60, 16W25

Received: 10.07.2014
Revised: 10.10.2014

Language: English

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