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

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Authors: Kirichenko, V.V., Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152299
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Baer-Shemetkov’s decomposition in modules and related topics / V.V. Kirichenko, L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 161–173. — Бібліогр.: 23 назв. — англ.

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...