On SSAGP-injective rings

Abstract EN

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 1.

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.

2.

Let R be SSAGP – injective and r(e) is Gw-ideal for every idempotent element eR.

Then Z(R)=0.

3.

Let R be SSAGP – injective, MERT and right CM.

Then R is either strongly regular or semi simple Artinian.