Some algebraic identities in 3-prime near-rings

• Datum: 2020
• Hauptverfasser: Boua, A., Ashraf, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2324
• Назва журналу: 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.