Some identities in $3$-prime near-rings with derivations
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In this paper, we study new differential identities of $3$-prime near-rings associated with derivations. Our paper extends some identities already cited in the literature and draws inspiration from important sources such as \cite{boua2} and \cite{samman}. Furthermore, examples are given to prove that the restrictions imposed on the hypotheses of the various theorems were necessary and not just a formality.
Abstract
In this paper, we study new differential identities of $3$-prime near-rings associated with derivations. Our paper extends some identities already cited in the literature and draws inspiration from important sources such as \cite{boua2} and \cite{samman}. Furthermore, examples are given to prove that the restrictions imposed on the hypotheses of the various theorems were necessary and not just a formality.