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(AA) of the ring A with respect to the right Goldie radical G(AA) is right strongly semiprime.

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