Abstract

Abstract In the present paper, we introduce the notion of generalized ( σ , τ ) {(\sigma,\tau)} -n-derivations in a near-ring N and investigate a property involving generalized ( σ , τ ) {(\sigma,\tau)} -n-derivations of a prime near-ring N, which makes N a commutative ring. Additive commutativity of a prime near-ring N satisfying certain identities involving generalized ( σ , τ ) {(\sigma,\tau)} -n-derivations is also obtained.

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