Geodesic
Maximal submodules and locally perfect rings
Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 136-142.

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Rings over which every nonzero right module has a maximal submodule are called right Bass rings. For a ring $A$ module-finite over its center $C$, the equivalence of the following conditions is proved: (1) $A$ is a tight Bass ring; (2) $A$ is a left Bass ring; (3) $A/J(A)$ is a regular ring, and $J(A)$ is a right and left $t$-nilpotent ideal. 
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A. A. Tuganbaev. Maximal submodules and locally perfect rings. Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 136-142. http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a13/

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