中文摘要：

环R称为左WGP-内射环,如果对任意0≠a∈R,存在0≠b∈R使ba≠0且rl（ba）=baR.本文研究了左WGP-内射环的扩张,利用环R上的矩阵环Mn（R）以及平凡扩张环T（R,R）,给出了判断环R为左WGP-内射环的充要条件,并给出了判断扩张环R[D,C]为左WGP-内射环的充要条件.

英文摘要：

A ring R is called left WGP-injective if, for any 0≠a∈R, there exists0≠b ∈ R such that ba ≠ 0 and rl （ba） = baR. In this paper, we investigate the extensions of left WGP-injective tings. By using matrix rings Mn （R） and trivial extensions of rings T（R,R ）, we give necessary and sufficient conditions for judging the ring R to be left WGP-injective. At the same time, we give necessary and sufficient conditions for judging extensions of rings R[E D, C] to be left WGP-injective.