ON (α; τ)-P-DERIVATIONS OF NEAR-RINGS

Document Type : Original Manuscript

Authors

1 Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez, Polydisciplinary Faculty-Taza, LSI, P.O. Box 1223, Taza, Morocco

2 Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez, Polydisciplinary Faculty-Taza, LSI, P.O. Box 1223, Taza, Morocco.

Abstract

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.

Keywords

References

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Journal of Algebraic Systems
Volume 12, Issue 1
September 2024
Pages 163-177

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