ON SOME TYPES OF NOETHERIAN MODULES

被引：4

作者：

Kurdachenko, Leonid A. ^{[1
]}

Subbotin, Igor Ya. ^{[2
]}

机构：

[1] Dnepropetrovsk Univ, Dept Math, Vulytsya Naukova 13, UA-49050 Dnepropetrovsk, Ukraine

[2] Natl Univ, Dept Math, Inglewood, CA 90301 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2004年 / 3卷 / 02期

关键词：

FC-hypercentral groups; Dedekind domain; noetherian modules;

D O I：

10.1142/S0219498804000812

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe FC-hypercentral locally soluble groups G such that a groups algebra DG over a Dedekind domain D has a noetherian module A with faithful action of G such that A is subdirectly reducible and every proper factor module of A is finitely generated over D. It is proved, in particular, that G has an abelian normal subgroup of finite index.

引用

页码：169 / 179

页数：11

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