Some algebraic identities in 3-prime near-rings

• Date: 2020
• Main Authors: Boua, A., Ashraf, M.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2324
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We extend the domain of applicability of the concept of $(1, \alpha)$-derivations in $3$-prime near-rings by analyzing the structure and commutativity of near-rings admitting $(1, \alpha)$-derivations satisfying certain differential identities.