Geodesic
Modules over Endomorphism Rings
Matematičeskie zametki, Tome 75 (2004) no. 6, pp. 895-908.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that $A$ is a right distributive ring if and only if all quasiinjective right $A$-modules are Bezout left modules over their endomorphism rings if and only if for any quasiinjective right $A$-module $M$ which is a Bezout left $\operatorname{End}(M)$-module, every direct summand $N$ of $M$ is a Bezout $\operatorname{End}(M)$-module. If $A$ is a right or left perfect ring, then all right $A$-modules are Bezout left modules over their endomorphism rings if and only if all right $A$-modules are distributive left modules over their endomorphism rings if and only if $A$ is a distributive ring. 
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     author = {A. A. Tuganbaev},
     title = {Modules over {Endomorphism} {Rings}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2004},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_6_a7/}
}
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A. A. Tuganbaev. Modules over Endomorphism Rings. Matematičeskie zametki, Tome 75 (2004) no. 6, pp. 895-908. http://geodesic.mathdoc.fr/item/MZM_2004_75_6_a7/

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