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(\alpha, \tau )-P-derivations on left near-rings


Abstract


Suppose that \mathcal{N} is a near-ring and P is a 3-prime ideal of \mathcal{N}. In this paper we introduce the notion of (\alpha, \tau )-P derivation in near-rings, we also study the structure of the quotient near-ring \mathcal{N}/P which satisfies certain algebraic identities involving (\alpha, \tau )-P derivations.

DOI Code: 10.1285/i15900932v42n2p93

Keywords: Near-rings; Prime ideals; (alfa,tau)-derivations; Commutativity

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