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ON (σ, τ)-n-DERIVATIONS IN NEAR-RINGS

Mohammad Ashraf

Department of Mathematics, Aligarh Muslim University, Aligarh – 202002, India

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and

Mohammad Aslam Siddeeque

Department of Mathematics, Aligarh Muslim University, Aligarh – 202002, India

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https://doi.org/10.1142/S1793557113500514Cited by:4 (Source: Crossref)

Abstract

In the present paper, we introduce the notion of (σ, τ)-n-derivation in near-ring N and investigate some properties involving (σ, τ)-n-derivations of a prime near-ring N which force N to be a commutative ring. Additive commutativity of near-ring N satisfying certain identities involving (σ, τ)-n-derivations of a prime near-ring N has also been obtained. Related examples to justify the hypotheses in various theorems have also been provided.

Keywords:

AMSC: 16W25, 16Y30

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