环的连通性与半自反模

CONNECTED PROPERTY OF RINGS AND SEMIREFLEXIVE MODULES

本文利用连通性和半自反模刻划了环，得到了域，遗传环，priffer整环，Dedekind整环，VN正则环等常见环的连通特征及其相互之间的等价关系。

In this paper,by virtue of connected property of rings and semireflexive modules,we gave characterizations of many rings,suchas field,hereditary ring,prufer domain,Dedekind comain and VN regular ring, The equivalent relations among these rings are also given.