On Generalized Semiderivations of Prime Near Rings

Abdelkarim Boua, A. Raji, Asma Ali and Farhat Ali

International Journal of Mathematics and Mathematical Sciences, 2015, vol. 2015, 1-7

Abstract:

Let be a near ring. An additive mapping is said to be a generalized semiderivation on if there exists a semiderivation associated with a function such that and for all . In this paper we prove that prime near rings satisfying identities involving semiderivations are commutative rings, thereby extending some known results on derivations, semiderivations, and generalized derivations. We also prove that there exist no nontrivial generalized semiderivations which act as a homomorphism or as an antihomomorphism on a 3-prime near ring .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:867923

DOI: 10.1155/2015/867923

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