On commutativity in prime Γ-near-rings with symmetric bi-derivations

In this paper, we investigate the conditions of a prime Γ-near-ring to be commutative by means of symmetric bi-derivations. We prove that under certain conditions, prime Γ-near-rings will be the commutative Γ rings.

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Bibliographic Details
Main Authors: Dey, Kalyan Kumar, Paul, Akhil Chandra, Sattarovich, Rakhimov Isamiddin
Format: Article
Published: Academic Publications 2014
Online Access:http://psasir.upm.edu.my/id/eprint/34724/
http://www.ijpam.eu/contents/2014-93-5/1/index.html
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Summary:In this paper, we investigate the conditions of a prime Γ-near-ring to be commutative by means of symmetric bi-derivations. We prove that under certain conditions, prime Γ-near-rings will be the commutative Γ rings.