Geodesic
On the relations between the central factor-module and the derived submodule in modules over group rings
Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 4, pp. 433-445.

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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.
DOI : 10.14712/1213-7243.2015.136
Classification : 20C07, 20F19
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 
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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. Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 4, pp. 433-445. doi : 10.14712/1213-7243.2015.136. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.136/

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