RESULTS ON QUOTIENT NEAR-RINGS INVOLVING ADDITIVE MAPS

Document Type : Original Manuscript

Authors

1 LMACS Laboratory, Faculty of Sciences and Technology, Sultan Moulay Slimane University, Beni Mellal, Morocco.

2 Department of Mathematics, Polydisciplinary Faculty, LSI, Sidi Mohammed Ben Abdellah University, Taza, Morocco.

Abstract

We consider N to be a 3-prime field and P to be a prime ideal of N : In this paper, we study
the commutativity of the quotient ring N =P with left multipliers and derivations satisfying certain
identities on P, generalizing some well-known results in the literature. Furthermore, an example is
used to illustrate the necessity of our hypotheses

Keywords

References

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Journal of Algebraic Systems
Volume 13, Issue 3
November 2025
Pages 113-122

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