FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 1, PAGES 301-304

Ring properties of endomorphism rings of modules

G.M.Brodski
A.G.Grigorjan

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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Location: http://mech.math.msu.su/~fpm/eng/95/951/95118.htm
Last modified: October 3, 1997.