Nonexistence of nonzero derivations on some classes of zero-symmetric 3-prime near-rings

• Date: 2014
• Main Authors: Al-Shaalan, Khalid H., Kamal, Ahmed A. M., Аль-Шаалан, Халід Г., Камаль, Ахмед А. М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2144
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We give some classes of zero-symmetric 3-prime near-rings such that every member of these classes has no nonzero derivation. Moreover, we extend the concept of “3-prime” to subsets of near-rings and use it to generalize Theorem 1.1 due to Fong, Ke, and Wang concerning the transformation near-rings M...