西南交通大学学报(英文版)2002，Vol.10Issue(2)：139-143,5.
The F -Decomposition of Artinian Modules over Hyper-(Cyclic or Finite) Groups
The F -Decomposition of Artinian Modules over Hyper-(Cyclic or Finite) Groups
秦应兵 1段泽勇2
作者信息
- 1. Department of Mathematics, Southwest Jiaotong University, Chengdu 610031,China
- 2. Department of Mathematics, Southwest Normal University, Chongqing 400715,China
- 折叠
摘要
Abstract
Let Fbe a formation locally defined by f(p), G∈ Fand A a ZG-module, where p∈π={all primes and symbol ∞}.Then a p-main-factor U/V of G is said to be F -central in G if G/CG(U/V)∈f(p). In this paper, we have proved that: let Fbe a locally defined formation consisting of locally soluble groups, G a hyper-(cyclic or finite) locally soluble group and A an artinian ZG-module with all irreducible ZG-factors of A being finite; if G ∈ F, f(∞) f(p), f(p)≠ for each p∈π, A has an F -decomposition.关键词
F -decomposition/artinian module/hyper-(cyclic or finite) groupsKey words
F -decomposition/artinian module/hyper-(cyclic or finite) groups分类
数理科学引用本文复制引用
秦应兵,段泽勇..The F -Decomposition of Artinian Modules over Hyper-(Cyclic or Finite) Groups[J].西南交通大学学报(英文版),2002,10(2):139-143,5.
