JOURNAL ARTICLE

On Generalized (θ, θ) -3 - Derivations in Prime Near-Rings

Ikram A. Saed

Year: 2017 Journal:   Zenodo (CERN European Organization for Nuclear Research)   Publisher: European Organization for Nuclear Research

Abstract

Let N be a near-ring and is a mapping on N. In this paper we introduce the notion of generalized (θ, θ )-3-derivation in near-ring N. Also we investigate the commutativity of addition of near-rings satisfying certain identities involving generalized (θ, θ )-3-derivation on prime near-rings.

Keywords:
Mathematics Prime (order theory) Pure mathematics Ring (chemistry) Prime ring Commutative property Commutative ring Algebra over a field Discrete mathematics Combinatorics

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