Semiprime rings with nilpotent Lie ring of inner derivations
Abstract
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.
Keywords
semiprime ring; nilpotent Lie ring; commutativity; inner derivation
Mathematics Subject Classification (2010)
16W10; 16N60; 16W25
References
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This article by Kamil Kular is governed by the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported licence.