Groups, rings, and algebras: common strategic approaches and mutual influences

• Date: 2026
• Main Authors: Dixon, M., Semko, M., Subbotin, I., Діксон, Мартин, Семко, Микола, Субботін, Ігор
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8953
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 We focus on recent promising trends in the application of the key concepts and approaches from the classical infinite-group theory to various branches of algebra, such as modules over group rings, infinite-dimensional linear groups, Leibniz algebras, other generalizations of the Lie algebr...