Duo模的推广  

A Generalization of Duo Modules

作　　者：张培刚[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《甘肃科学学报》2009年第1期5-6,共2页Journal of Gansu Sciences

摘　　要：作为Duo模的真推广,引入了kernel duo模的概念,并给出了其相关性质.证明了kernelduo模的任意直和项是kernel duo模.设M=ni=1Mi,Mi(i=1,2,…,n)是M的完全不变子模.若Mi(i=1,2,…,n)是kernel duo模,则M是kernel duo模.设R是V-环且M是kernel-弱补模,则M是kernel duo模当且仅当M是弱Duo模.As a proper generalization of Duo modules,the concept of kernel duo modules was introduced and their basic properties were given. It was proved that any direct summand of a kernel duo module was kernel duo. Let M =ni=1Mibe a direct sum of fully invariant submodules Mi （i = 1,2,…, n） . If Mi （i = 1,2, … ,n） was a kernel duo module,then M was a kernel duo module. Let R be a V-ring and Ma kernel-weakly supplemented module. Then M was a kernel duo module if and only if M was a weak Duo module.

关 键 词：KERNEL duo模 kernel子模 完全不变子模 kernel-弱补模 弱Duo模 

分 类 号：O153.3[理学—数学]