On the relations between the central factor-module and the derived submodule in modules over group rings

Commentationes mathematicae Universitatis Carolinae

Leonid A. Kurdachenko¹ 

关键词: 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  :  10.14712/1213-7243.2015.136

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

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

【 授权许可】

CC BY