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

Voir la notice de l'article provenant de la source Cambridge University Press

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/}
}
TY  - JOUR
TI  - On Semiperfect Modules
JO  - Canadian mathematical bulletin
PY  - 1975
SP  - 77
EP  - 80
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-014-4/
DO  - 10.4153/CMB-1975-014-4
ID  - 10_4153_CMB_1975_014_4
ER  - 
%0 Journal Article
%T On Semiperfect Modules
%J Canadian mathematical bulletin
%D 1975
%P 77-80
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-014-4/
%R 10.4153/CMB-1975-014-4
%F 10_4153_CMB_1975_014_4

[1] 1. Bass, H., Finit is tic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466-488. Google Scholar

[2] 2. Golan, J. S., Quasiperfect Modules, Quart. J. Math. Oxford (2), 22 (1971), 173-82. Google Scholar

[3] 3. Kasch, F. and Mares, E. A., Eine Kennzeichnung Semi-perfecter Moduln, Nagoya Math. J. 27 (1966), 525-529. Google Scholar

[4] 4. Mares, E. A., Semiperfect modules, Math. Zeitschr. 82 (1963), 347-360. Google Scholar

[5] 5. Sandomierski, F. L., On semiperfect and perfect rings, Proc. Amer. Math. Soc. 21 (1969), 205-207. Google Scholar

Cité par Sources :