广义基本有限生成的TS_1-模的性质  

Properties of Generalized Essential Finitely Generated Module

作　　者：宋雪梅[1] 李曼生[1] 李明[1] 

机构地区：[1]兰州师范高等专科学校数学系,甘肃兰州730070

出　　处：《天水师范学院学报》2005年第2期13-14,17,共3页Journal of Tianshui Normal University

基　　金：甘肃省教育厅资助项目(0410B-09)

摘　　要：定义了广义基本有限生成的TS1-模。主要证明了广义基本有限生成的TS1-模的广义基本有限生成的type子模是广义基本有限生成的TS1-模;M是广义基本有限生成的TS1-模当且仅当对M的任意广义基本有限生成子模N,存在K|tM,使得N≤geK.In this paper,generalized essential finitely generated -module is defined.It is proved that,any generalized essential finitely generated type sub-module of a generalized essential finitely generated -module is generalized essential finitely generated -module;is generalized essential finitely generated -module if and only if for any generalized essential finitely generated sub-module ,there exists a type direct summand of such that N≤geK.

关 键 词：广义基本有限生成 TS1-广模 广义一致模 EXTENDING模 type子模 

分 类 号：O153.1[理学—数学]