Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasyl A. Chupordia

Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasyl A. Chupordia
On the relations between the central factor-module and the derived submodule in modules over group rings

Comment.Math.Univ.Carolin. 56,4 (2015) 433-445.

Abstract:A modular analogue of the well-known group theoretical result about finiteness of the derived subgroup in a group with a finite factor by its center has been obtained.

Keywords: modules; group rings; modules over group rings; generalized soluble groups; modules of finite rank; an integral domain; a scalar ring; Schur's theorem; Baer's theorem

DOI: DOI 10.14712/1213-7243.2015.136
AMS Subject Classification: 20C07 20F19

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Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasyl A. ChupordiaOn the relations between the central factor-module and the derived submodule in modules over group rings

Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasyl A. Chupordia
On the relations between the central factor-module and the derived submodule in modules over group rings