Semiprime rings with nilpotent Lie ring of inner derivations

Kamil Kular

doi:10.2478/aupcsm-2014-0008

.blurhash-client-img { display: none !important; }

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

[1] N. Argaç, H.G. Inceboz, Derivations of prime and semiprime rings, J. Korean Math. Soc. 46 (2009), no. 5, 997-1005. Cited on 104.
Search in Google Scholar
[2] M.J. Atteya, Commutativity results with derivations on semiprime rings, J. Math. Comput. Sci. 2 (2012), no. 4, 853-865. Cited on 104.
Search in Google Scholar
[3] M.N. Daif, H.E. Bell, Remarks on derivations on semiprime rings, Internat. J. Math. Math. Sci. 15 (1992), no. 1, 205-206. Cited on 104.
Search in Google Scholar
[4] I.N. Herstein, Noncommutative rings, Carus Mathematical Monographs, 15. Mathematical Association of America, Washington, DC, 1994. Cited on 104.
Search in Google Scholar
[5] M. Hongan, A note on semiprime rings with derivation, Internat. J. Math. Math. Sci. 20 (1997), no. 2, 413-415. Cited on 104.
Search in Google Scholar

Articles in this issue

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

Journal RSS Feed

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.

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