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Article

Kurdachenko, Leonid A. ; Subbotin, Igor Ya. ; Chupordia, Vasyl A.
On the relations between the central factor-module and the derived submodule in modules over group rings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 4, pp. 433-445
MSC: 20C07, 20F19 | MR 3434223 | Zbl 06537718 | DOI: 10.14712/1213-7243.2015.136
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
Summary:
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.
References:
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