Geodesic
On Prime One-Sided Ideals
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 259-260

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Let R be a ring and let Lγ(R) be the lattice of right ideals. We define that I ∊ Lγ(R) is a prime right ideal provided that if AB⊆I for some A, B in Lγ(R) such that AI⊆I then either A⊆I or B⊆I. Any prime ideal of a ring R is a prime right ideal and if R is commutative then an ideal is prime if and only if it is a prime right ideal. If R is a ring and a∊R, let aR={x ∊ R | x=ar for some r∊R} and aR 1={x ∊ R | x = na+ar for some integer n and r ∊ R}. 
Koh, Kwangil. On Prime One-Sided Ideals. Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 259-260. doi: 10.4153/CMB-1971-047-3
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     author = {Koh, Kwangil},
     title = {On {Prime} {One-Sided} {Ideals}},
     journal = {Canadian mathematical bulletin},
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     year = {1971},
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     number = {2},
     doi = {10.4153/CMB-1971-047-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-047-3/}
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