V. V. Kirichenko, L. A. Kurdachenko, A. A. Pypka, I. Ya. Subbotin, “On Baer–Shemetkov's decomposition in modules and related topics”, Algebra Discrete Math., 2013, том 15, выпуск 2,страницы 161

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SURVEY ARTICLE

On Baer–Shemetkov's decomposition in modules and related topics

V. V. Kirichenko^a, L. A. Kurdachenko^b, A. A. Pypka^b, I. Ya. Subbotin^c

^a Department of Geometry, School of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska, 64, Kyiv, 01033, Ukraine
^b Department of Geometry and Algebra, School of Mechanics and Mathematics, Oles Honchar Dnipropetrovsk National University, Gagarin prospect, 72, Dnipropetrovsk, 49010, Ukraine
^c Department of Mathematics and Natural Sciences, College of Letters and Sciences, National University, 5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, USA

Аннотация: 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 areas of modules theory and infinite groups theory.

Ключевые слова: formation, modules over group rings, artinian modules, direct decomposition, complement, supplement.

MSC: 13E10, 20F17, 20F19

Поступила в редакцию: 23.04.2013
Исправленный вариант: 23.04.2013

Язык публикации: английский