On Semiperfect Modules
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 77-80

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Sandomierski (Proc. A.M.S. 21 (1969), 205–207) has proved that a ring is semiperfect if and only if every simple module has a projective cover. This is generalized to semiperfect modules as follows: If P is a projective module then P is semiperfect if and only if every simple homomorphic image of P has a projective cover and every proper submodule of P is contained in a maximal submodule.
On Semiperfect Modules. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 77-80. doi: 10.4153/CMB-1975-014-4
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