Geodesic
Ring properties of endomorphism rings of modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 301-304.

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A certain method of studying ring properties of endomorphism rings of modules is justified. As an example of its applications the equivalence of the following conditions is proved: 1) the right annihilator of every proper finitely generated (principal) left ideal in any endomorphism ring of an injective right $R$-module contains a nonzero idempotent; 2) the ring $R$ is a semiartinian right $V$-ring. 
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G. M. Brodskii; A. G. Grigoryan. Ring properties of endomorphism rings of modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 301-304. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a17/

[1] Feis K., Algebra, koltsa, moduli i kategorii, 1, Mir, M., 1977

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