Study of the structure of near-rings with n-derivations

Résumé

This paper aims to formulate a set of theorems that guarantee the commutativity of the near-
ring N under specific conditions. We show that if N admits a n-derivation D with certain prop-
erties, then N must be a commutative ring. Our results are illustrated with concrete examples,
highlighting their crucial role in the logical framework of the proofs.