Abstract
In this paper, we investigate some properties of rings whose simple singular right R- modules are A Gp-injective (or SSAGP- injective for short). It is proved that: Y(R)=0 where R is a right SSAGP- injective rings. It is also proved that Let R be a complement right bounded, SSAGP – injective rings and every maximal essential right ideal is Gw-ideal. Then R is strongly regular ring. Let R be SSAGP – injective and r(e) is Gw-ideal for every idempotent element . Then Z(R)=0. Let R be SSAGP – injective, MERT and right CM. Then R is either strongly regular or semi simple Artinian.
