On Prime-Gamma-Near-Rings with Generalized DerivationsReport as inadecuate




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International Journal of Mathematics and Mathematical SciencesVolume 2012 2012, Article ID 625968, 14 pages

Research Article

Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh

Department of Mathematics, Faculty of Science and Institute for Mathematical Research INSPEM, Universiti Putra Malaysia, 43400 Serdang, Malaysia

Received 26 January 2012; Accepted 19 March 2012

Academic Editor: B. N. Mandal

Copyright © 2012 Kalyan Kumar Dey et al. 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.

Abstract

Let be a 2-torsion free prime -near-ring with center . Let and be two generalized derivations on . We prove the following results: i if or or for all , , then is a commutative -ring. ii If and for all , , then . iii If acts as a generalized derivation on , then or .





Author: Kalyan Kumar Dey, Akhil Chandra Paul, and Isamiddin S. Rakhimov

Source: https://www.hindawi.com/



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