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

被引：1

作者：

Kurdachenko, Leonid A. ^{[1
]}

Subbotin, Igor Ya ^{[2
]}

Chupordia, Vasyl A. ^{[1
]}

机构：

[1] Dnepropetrovsk Natl Univ, Dept Algebra & Geometry, Gagarin Prospect 72, UA-49010 Dnepropetrovsk 10, Ukraine

[2] Natl UNIV, Math Dept, Los Angeles, CA 90045 USA

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2015年 / 56卷 / 04期

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;

D O I：

10.14712/1213-7243.2015.136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：433 / 445

页数：13