Semiprime rings with nilpotent Lie ring of inner derivations

Kular, Kamil

doi:10.2478/aupcsm-2014-0008

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Semiprime rings with nilpotent Lie ring of inner derivations

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 13 (2014): Issue 1 (December 2014)

By: Kamil Kular

Open Access

|Dec 2014

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

References

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DOI: https://doi.org/10.2478/aupcsm-2014-0008 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 103 - 107

Submitted on: May 22, 2014

Published on: Dec 11, 2014

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Mathematics,

General mathematics

© 2014 Kamil Kular, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

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