Geodesic
A Class of Prime Rings
Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 63-72

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If R is a ring and I is a right ideal of R then I is called faithful if R - I is a faithful right R-module, i.e. if { r ∊ R: Rr⊆ I} = (0). I is called irreducible [ 1 ] provided that if J1 and J2 are right ideals such that J1 ∩ J2 = I, then J1 or J2 = I. Let N(I){ r ∊ R: rI⊆ I} and [ I: a ] = { r ∊ R: ar⊆ I} for a ∊ R. We write (a)r for [(0): a ]. 
Koh, Kwangil; Mewborn, A. C. A Class of Prime Rings. Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 63-72. doi: 10.4153/CMB-1966-008-0
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