Geodesic
On Simple Rings with Maximal Annihilator Right Ideals
Canadian mathematical bulletin, Tome 8 (1965) no. 5, pp. 667-668

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If R is a simple ring with 1 which contains a maximal annihilator right ideal then R is the endomorphism ring of a unital torsion-free module over an integral domain.We first prove the following:Let R be a ring with 1. If a ε R such that (a)r = {r ε R|ar = 0} is a maximal annihilator right ideal then HomR(aR, aR) is an integral domain. 
Koh, Kwangil. On Simple Rings with Maximal Annihilator Right Ideals. Canadian mathematical bulletin, Tome 8 (1965) no. 5, pp. 667-668. doi: 10.4153/CMB-1965-050-6
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     author = {Koh, Kwangil},
     title = {On {Simple} {Rings} with {Maximal} {Annihilator} {Right} {Ideals}},
     journal = {Canadian mathematical bulletin},
     pages = {667--668},
     year = {1965},
     volume = {8},
     number = {5},
     doi = {10.4153/CMB-1965-050-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-050-6/}
}
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