Groups of order $p^4$ as additive groups of local near-rings

• Date: 2024
• Main Authors: Raievska, I., Raievska, M., Раєвська, Ірина, Раєвська, Марина
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8053
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.6 Near-rings can be considered as a generalization of associative rings. In general, a near-ring is a ring $(R,+,\cdot)$ in which the operation $``+"$ is not necessarily Abelian and at least one distributive law holds. A near-ring with identity is called lo...