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On two sided α-n-derivation in 3-prime near-rings

  • L. Oukhtite
  • A. Raji
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Abstract

Let N be a left near-ring and let α be a function of N. We introduce the notion of two sided α-n-derivation and prove that a prime zero symmetric near-ring involving α-n-derivations satisfying certain identities is a commutative ring.Also, some examples are given to shown that the 3-primeness condition in our results is not redundant.

Key words and phrases

prime near-ring derivation two sided α-n-derivation commutativity 

Mathematics Subject Classification

16N60 16W25 16Y30 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Science and TechnologySidi Mohamed Ben Abdellah UniversityFezMorocco
  2. 2.Department of Mathematics, Faculty of Sciences and TechnologySultan Moulay Slimane UniversityBeni MellalMorocco

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