FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 7, PAGES 205-220

Completely integrally closed modules and rings. III

A. A. Tuganbaev

Abstract

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We study rings $A$ over which all cyclic right modules are completely integrally closed. The complete answer is obtained if either $A$ is a semiperfect ring or each ring direct factor of $A$ that is a domain is right bounded.

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Last modified: October 21, 2011