On Baer-Shemetkov’s decomposition in modules and related topics

• Date: 2018
• Main Authors: Kirichenko, V. V., Kurdachenko, L. A., Pypka, A. A., Subbotin, I. Ya.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: formation; modules over group rings; artinian modules; direct decomposition; complement; supplement; 13E10; 20F17; 20F19
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/740
• Journal Title: Algebra and Discrete Mathematics

This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. In this article, we traced the influence of L.A. Shemetkov's ideas on some...