Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 301-304
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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/
@article{FPM_1995_1_1_a17,
author = {G. M. Brodskii and A. G. Grigoryan},
title = {Ring properties of endomorphism rings of modules},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {301--304},
year = {1995},
volume = {1},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a17/}
}
TY - JOUR
AU - G. M. Brodskii
AU - A. G. Grigoryan
TI - Ring properties of endomorphism rings of modules
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1995
SP - 301
EP - 304
VL - 1
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a17/
LA - ru
ID - FPM_1995_1_1_a17
ER -
%0 Journal Article
%A G. M. Brodskii
%A A. G. Grigoryan
%T Ring properties of endomorphism rings of modules
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 301-304
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a17/
%G ru
%F FPM_1995_1_1_a17
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.
