中文摘要：

给出了 WGP-内射环的等价定义，研究了 WGP-内射环的一些性质，证明了：若 R 是左非奇异的左 WGP-内射环，且对 R 中任意无限序列 a1，a2，a3…，升链 1（a1）1（a1 a2）1（a1 a2 a3）…是平稳的，则 R 是半单环。

英文摘要：

Some equivalent definitions of WGP-injective rings are introduced.And the properties of WGP-injective rings are studied.It is proved that if R is a left nonsingular left WGP-injective ring, and the ascending chain 1（a1 ）1（a1 a2 ）1（a1 a2 a3 terminates for every infinite sequence a1 ,a2 ,a3…, then R is semisimple.