Shahrood University of TechnologyJournal of Algebraic Systems2345-512812120240901ON (α; τ)-P-DERIVATIONS OF NEAR-RINGS163177284410.22044/jas.2023.12352.1661ENSamir MouhssineDepartment of Mathematics, University Sidi Mohammed Ben Abdellah-Fez,
Polydisciplinary Faculty-Taza, LSI, P.O. Box 1223, Taza, MoroccoAbdelkarim BouaDepartment of Mathematics, University Sidi Mohammed Ben Abdellah-Fez,
Polydisciplinary Faculty-Taza, LSI, P.O. Box 1223, Taza, Morocco.Journal Article20221020The 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.https://jas.shahroodut.ac.ir/article_2844_4e2cfe591ca4db7f536f074c85a303d0.pdf