International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2005 / Article

Open Access

Volume 2005 |Article ID 161546 | https://doi.org/10.1155/IJMMS.2005.2703

Joso Vukman, Irena Kosi-Ulbl, "On some equations related to derivations in rings", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 161546, 8 pages, 2005. https://doi.org/10.1155/IJMMS.2005.2703

On some equations related to derivations in rings

Received30 Dec 2004
Revised21 Jul 2005

Abstract

Let m and n be positive integers with m+n0, and let R be an (m+n+2)!-torsion free semiprime ring with identity element. Suppose there exists an additive mapping D:RR, such that D(xm+n+1)=(m+n+1)xmD(x)xn is fulfilled for all xR, then D is a derivation which maps R into its center.

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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