Semiprime rings with nilpotent Lie ring of inner derivations

Kamil Kular


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.


semiprime ring; nilpotent Lie ring; commutativity; inner derivation

Mathematics Subject Classification (2010)

16W10; 16N60; 16W25


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