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, Tome 15 (2013) no. 2, pp. 161-173.

Résumé

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.

Détail

Keywords: modules over group rings, artinian modules, supplement.
Mots-clés : formation, direct decomposition, complement

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