Geodesic
Rings whose finitely generated right ideals are quasi-projective
Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 146-154.

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An invariant 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 may be extended to an endomorphism of the module $A_A$. An invariant semiprime ring $A$ is arithmetical if and only if every finitely generated ideal $M$ of the ring $A$ is a quasi-projective $A$-module.
Keywords: arithmetical ring, quasi-projective module, skew-projective module, integrally closed module, distributive module. 
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A. A. Tuganbaev. Rings whose finitely generated right ideals are quasi-projective. Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 146-154. http://geodesic.mathdoc.fr/item/DM_2015_27_1_a10/

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