Results on quotient near-rings involving additive maps

Document Type : Original Manuscript

Author

Sidi Mohamed Ben Abdellah university

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