On Generalized Semiderivations of Prime Near Rings

Let N be a near ring. An additive mapping F:N→N is said to be a generalized semiderivation on N if there exists a semiderivation d:N→N associated with a function g:N→N such that F(xy)=F(x)y+g(x)d(y)=d(x)g(y)+xF(y) and F(g(x))=g(F(x)) for all x,y∈N. In this paper we prove that prime near rings satisf...

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Bibliographic Details
Main Authors: Abdelkarim Boua, A. Raji, Asma Ali, Farhat Ali
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2015/867923
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