Geodesic
A Note on a Self Injective Ring
Canadian mathematical bulletin, Tome 8 (1965) no. 1, pp. 29-32

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A ring R with unity is called right (left) self injective if the right (left) R-module R is injective [7]. The purpose of this note is to prove the following: Let R be a prime ring with a maximal annihilator right (left) ideal. If R is right (left) self injective then R is a primitive ring with a minimal one-sided ideal. If R satisfies the maximum condition on annihilator right (left) ideals and R is right (left) self injective then R is a simple ring with the minimum condition on one-sided ideals. 
Koh, Kwangil. A Note on a Self Injective Ring. Canadian mathematical bulletin, Tome 8 (1965) no. 1, pp. 29-32. doi: 10.4153/CMB-1965-005-6
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     author = {Koh, Kwangil},
     title = {A {Note} on a {Self} {Injective} {Ring}},
     journal = {Canadian mathematical bulletin},
     pages = {29--32},
     year = {1965},
     volume = {8},
     number = {1},
     doi = {10.4153/CMB-1965-005-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-005-6/}
}
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