扩张直内射模的子模与自同态  

Submodules and Endomorphisms of Extending Direct Injective Module

作　　者：陈治中[1] 

机构地区：[1]北方交通大学数学系

出　　处：《北方交通大学学报》1995年第3期332-334,共3页Journal of Northern Jiaotong University

摘　　要：讨论了扩张直内射模的子模与自同态，指出只有满足某些条件的单同态才能由模Ｍ的自同态导出。同时讨论了扩张直内射模的自同态环的Ｊａｃｏｂｓｏｎ根的一些性质。In this paper we make discussion on submodules of extending direct injective module and its endomorphisms. We show that only when certain conditions of monomorphism are fulfilled , it can be induced by endomorphism of module M. We also investigate Jacobson radical of endomorphism ring of extending direct injective modules.

关 键 词：环 模 内射模 直内射模 子模 自同态 

分 类 号：O153.3[理学—数学]