FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 4, PAGES 129-135

Automorphism-invariant modules

A. A. Tuganbaev

Abstract

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It is proved that all automorphism-invariant nonsingular right $A$-modules are injective if and only if the factor ring $A/G(A$_A) of the ring $A$ with respect to the right Goldie radical $G(A$_A) is right strongly semiprime.

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Last modified: May 13, 2014