Semiprime rings with nilpotent Lie ring of inner derivations

Kamil Kular 1
  • 1 Institute of Mathematics Cracow University of Technology Warszawska 24 31-155 Kraków Poland

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

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