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强孤立子模
引用本文:王永铎,孙庆.强孤立子模[J].兰州理工大学学报,2008,34(3).
作者姓名:王永铎  孙庆
作者单位:兰州理工大学,理学院,甘肃,兰州730050
基金项目:兰州理工大学博士启动基金
摘    要:在孤立子模的基础上给出强孤立子模的概念并讨论强孤立子模的一些性质,并证明R-模M的加补子模N是强孤立子模当且仅当N的任意真子模被包含在N的极大子模中.

关 键 词:孤立子模  强孤立子模  局部模  乘法模

Strongly isolated submodule
WANG Yong-duo,SUN Qing.Strongly isolated submodule[J].Journal of Lanzhou University of Technology,2008,34(3).
Authors:WANG Yong-duo  SUN Qing
Abstract:On the basis of isolated submodule,the concept of strongly isolated submodule was given and some their properties were discussed,also.It was verified that every supplemented submodule N of R-module M would be strongly isolated if and only if every proper submodule of N was contained in the maximal submodule of N.
Keywords:isolated submodule  strongly isolated submodule  local module  multiplication module
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