西南交通大学学报(英文版)
西南交通大學學報(英文版)
서남교통대학학보(영문판)
JOURNAL OF SOUTHWEST JIAOTONG UNIVERSITY
2004年
1期
83-86
,共4页
Noetherian module%Hyper-(cyclic or finite) group%F-decomposition
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.
