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F-Decomposition of Noetherian Modules over Hyper-(Cyclic or Finite) Groups

秦应兵段泽勇

西南交通大学学报(英文版)2004，Vol.12Issue(1)：83-86,4.

F-Decomposition of Noetherian Modules over Hyper-(Cyclic or Finite) Groups

秦应兵 ¹段泽勇²

作者信息

1. Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2. Department of Mathematics, Southwest Normal University, Chongqing 400715, China
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摘要

Abstract

Let Fbe a locally defined formation consisting of locally soluble groups, G a hyper-(cyclic or finite) locally soluble group and A a noetherian ZG-module with all irreducible ZG-factors being finite, G∈F, f(∞)f(p), f(p)≠ for each p∈π. The following conclutions are obtained: (1) if there exists a maximal submodule B of A such that A/B is F-central in G and B has no nonzero F-central ZG-factors, then A has an F-decomposition; (2) if there exists an irreducible F-central submodule B of A such that all ZG-composition factors of A/B are F-ecentric, then A has an F-decomposition.

关键词

Noetherian module/Hyper-(cyclic or finite) group/F-decomposition

Key words

Noetherian module/Hyper-(cyclic or finite) group/F-decomposition

分类

医药卫生

引用本文复制引用

秦应兵,段泽勇..F-Decomposition of Noetherian Modules over Hyper-(Cyclic or Finite) Groups[J].西南交通大学学报(英文版),2004,12(1):83-86,4.

基金项目

The National Natural Science Foundation of China (No.10171074) （No.10171074）

西南交通大学学报(英文版)

ISSN：2662-4745

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