Geodesic
Some Almost Simple Rings
Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 290-302

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Herein, a ring is not required to have an identity. All rings are associative but not necessarily commutative. However, we specialize to the commutative case for some of our results. The paper is concerned primarily with rings having the property that all unbounded ideals or all unbounded homomorphic images are isomorphic to the ring. We say that a ring R is bounded if nR = 0 for some positive integer n; alternately, R, with or without 1, is said to have finite characteristic. Unbounded rings having the property that all proper subrings are bounded were characterized in [8]. 
Hill, Paul. Some Almost Simple Rings. Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 290-302. doi: 10.4153/CJM-1973-029-4
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