On local near-rings with Miller?Moreno multiplicative group

• Date: 2012
• Main Authors: Raievska, M. Yu., Sysak, Ya. P., Раєвська, М. Ю., Сисак, Я. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2618
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A near-ring $R$ with identity is local if the set $L$ of all its noninvertible elements is a subgroup of the additive group $R^{+}$. We study the local near-rings of order $2^n$ whose multiplicative group $R^{*}$ is a Miller-Moreno group, i.e., a non-abelian group all proper subgroups of which are...