Geodesic
Arithmetical rings and quasi-projective ideals
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 2, pp. 207-211 
A. A. Tuganbaev. Arithmetical rings and quasi-projective ideals. Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 2, pp. 207-211. http://geodesic.mathdoc.fr/item/FPM_2014_19_2_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a commutative ring $A$ is arithmetical if and only if every finitely generated ideal $M$ of the ring $A$ is a quasi-projective $A$-module and every endomorphism of this module can be extended to an endomorphism of the module $A_A$. These results are proved with the use of some general results on invariant arithmetical rings.

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