ON (σ, τ)-n-DERIVATIONS IN NEAR-RINGS
Mohammad Ashraf, Mohammad Aslam Siddeeque
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Source: Crossref
Published: Dec 1, 2013
DOI: 10.1142/s1793557113500514
Open original source ↗Source 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.
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