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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     author = {A. A. Tuganbaev},
     title = {Rings whose finitely generated right ideals are quasi-projective},
     journal = {Diskretnaya Matematika},
     pages = {146--154},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2015_27_1_a10/}
}
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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/