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- Title
On SSAGP-injective Rings.
- Authors
Mahmood, Raida D.; Abd, Manal I.
- 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 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.
- Subjects
ASSOCIATIVE rings; ARTIN rings; COMMUTATIVE rings; NONASSOCIATIVE rings; RING theory
- Publication
Journal of Education & Science, 2019, Vol 28, Issue 4, p251
- ISSN
1812-125X
- Publication type
Article
- DOI
10.33899/edusj.1970.163322