Geodesic
Decomposition Theorems for q *-Rings
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 155-160

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Let R be a ring with identity. The study of rings in which every left (right) ideal is quasi-injective was begun by Jain, Mohamed, and Singh (3). They called these rings left (right) q-rings. A number of structure theorems have been proved for q-rings. See, for example, (1), (2), and (5). A ring with the dual property (rings in which every homomorphic image of R as a left (right) R-module is quasi-projective) is called left (right) q*. These rings were first studied by Koehler (4), where some results connecting q* -rings with q-rings were obtained. 
Hill, David A. Decomposition Theorems for q *-Rings. Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 155-160. doi: 10.4153/CMB-1980-021-6
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