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On SSAGP-injective Rings | ||
| Journal of Education and Science | ||
| Article 19, Volume 28, Issue 4, 2019, Pages 251-257 PDF (309.57 K) | ||
| DOI: 10.33899/edusj.1970.163322 | ||
| Authors | ||
| Raida D. Mahmood; Manal I. Abd | ||
| 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. | ||
| Keywords | ||
| REGULAR; Reduced; P-injective; AGP-injective | ||
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