Geodesic
Rings over which all finitely generated modules are $\aleph_0$-injective
Diskretnaya Matematika, Tome 21 (2009) no. 4, pp. 76-81
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All finitely generated right $A$-modules are $\aleph_0$-injective if and only if $A$ is a regular, right $\aleph_0$-injective ring. 
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A. A. Tuganbaev. Rings over which all finitely generated modules are $\aleph_0$-injective. Diskretnaya Matematika, Tome 21 (2009) no. 4, pp. 76-81. http://geodesic.mathdoc.fr/item/DM_2009_21_4_a5/

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[4] Osofsky B. L., “Rings all of whose finitely generated modules are injective”, Pacific J. Math., 14 (1964), 645–650 | MR | Zbl