On Generalized (θ, θ)-3-Derivations in Prime Near-Rings
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
near-ring; prime near-ring; (θ,θ)-3-derivation; generalized (θ,θ)-3-derivation.
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