Samir Mouhssine - Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez, Polydisciplinary Faculty-Taza, LSI, P.O. Box ۱۲۲۳, Taza, Morocco
Abdelkarim BOUA - Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez, Polydisciplinary Faculty-Taza, LSI, P.O. Box ۱۲۲۳, Taza, Morocco.

The relationship between derivations and algebraic structures of quotient near-rings has become a fascinating topic in modern algebra in recent decades. Assume \mathcal{N} is a near-ring and P is its prime ideal. In this paper we introduce the notion of (\alpha, \tau )-P-derivation in near-rings. Also, we study the structure of the quotient near-rings N/P that satisfies certain algebraic identities involving (\alpha, \tau )-P-derivation.

Near-rings, Prime ideals, (\alpha, \tau )-derivations, Commutativity