ON (α; τ)-P-DERIVATIONS OF NEAR-RINGS

Mouhssine, Samir; Boua, Abdelkarim

doi:10.22044/jas.2023.12352.1661

	ON (α; τ)-P-DERIVATIONS OF NEAR-RINGS
Journal of Algebraic Systems
دوره 12، شماره 1، آذر 2024، صفحه 163-177 اصل مقاله (157.04 K)
نوع مقاله: Original Manuscript
شناسه دیجیتال (DOI): 10.22044/jas.2023.12352.1661
نویسندگان
Samir Mouhssine¹؛ Abdelkarim Boua^* ²
¹Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez, Polydisciplinary Faculty-Taza, LSI, P.O. Box 1223, Taza, Morocco
²Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez, Polydisciplinary Faculty-Taza, LSI, P.O. Box 1223, Taza, Morocco.
چکیده
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.
کلیدواژه‌ها
Near-rings؛ Prime ideals؛ $(\alpha؛ \tau )$-derivations؛ Commutativity

مراجع
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ON (α; τ)-P-DERIVATIONS OF NEAR-RINGS