拟内射模及其应用  

QUASI-INJECTIVE MODULES AND ITS APPLICATION

作　　者：周梦[1] 

机构地区：[1]北京师大数学系

出　　处：《赣南师范学院学报》1991年第6期11-21,共11页Journal of Gannan Teachers' College(Social Science(2))

摘　　要：模论在现代代数学中起着越来越突出的作用。内射模是模论中的一个有着基本重要性的概念。拟内射模是比内射模更广的一类模。本文讨论了拟内射模的性质和刻划。并应用它给出了几种环的拟内射性刻划。在一般教科书中这些环都是用内射性来给出其外刻划的。Modules are playing a more and more important role in modern algebra, Injective module is an important foundemental concept in module theory. Quasi-injective module is a class of modules which is more generalized than injective modules.In this paper, we discuss the properties of quasi-injective modules and give their characeterizations. Then we giy(?) some ring' s characterizations with guasi-injectivity.

关 键 词：内射模 拟内射模 模论 环 M-内射模 

分 类 号：O153.3[理学—数学]