On locally soluble AFN-groups

被引:0
|
作者
Dashkova, Olga Yu.
机构
来源
ALGEBRA & DISCRETE MATHEMATICS | 2012年 / 14卷 / 01期
关键词
locally soluble group; noetherian module; group ring;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A be an RG-module, where R is a commutative ring, G is a locally soluble group, C-G(A) = 1, and each proper subgroup H of G for which A/C-A(H) is not a noetherian R-module, is finitely generated. We describe the structure of a locally soluble group G with these conditions and the structure of G under consideration if G is a finitely generated soluble group and the quotient module A/C-A(G) is not a noetherian R-module.
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页码:37 / 48
页数:12
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