On SSAGP-injective Rings
JOURNAL OF EDUCATION AND SCIENCE,
2019, Volume 28, Issue 4, Pages 251-257
AbstractIn 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.
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