On Jordan ideals and semigroup ideals in 3-prime near-rings with multiplicative derivations

The aim of this article is to prove certain properties of multiplicative derivations verifying certain algebraic identities on Jordan ideals and semigroup ideals of a 3prime near-ring. The results obtained characterize the relationship between the structure of this type of near-rings admitting this kind of maps. Additionally, we present examples to show that our assumptions imposed on the various theorems cannot be omitted.