Semiprime rings with nilpotent Lie ring of inner derivations

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.

Bibliographic Details
Main Author: Kamil Kular
Format: Article
Language:deu
Published: Sciendo 2014-04-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/177