X_R－内射模自同态环的性质

本文讨论一类Ｘ_Ｒ－内射模的性质得到，定理：Ｑ_Ｒ为Ｘ_Ｒ－射模，Ｚ（Ｒ_Ｒ）＝０，且，Ｘ_Ｒ为ｓ不变量，Ｓ＝Ｅｎｄ（Ｑ_Ｒ）则Ｓ／Ｒａｄ（Ｓ）为正则环。

The property of endmorphism ring of X_R-injective module

In this article,We discussed the property of X_R-injective module. We found the following theorem. Let Q_R be X_R-injective module Z(R_R)=0,,X_R is a fully invariant submedule of Q_R when can be treated as a S-submodule,S =End(Q_R),then S/Rad(S)is a regular ring.