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
@misc{10_4153_CMB_1975_014_4,
title = {On {Semiperfect} {Modules}},
journal = {Canadian mathematical bulletin},
pages = {77--80},
year = {1975},
volume = {18},
number = {1},
doi = {10.4153/CMB-1975-014-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-014-4/}
}
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