FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 8, PAGES 213-228

Completely integrally closed modules and rings

A. A. Tuganbaev

Abstract

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A ring $A$ is a completely integrally closed right $A$-module if and only if the maximal right ring of quotients $Q$_max(A) of $A$ is an injective right $A$-module and $A$ is a right completely integrally closed subring in $Q$_max(A). A right Noetherian, right integrally closed ring $A$ is a completely integrally closed right $A$-module.

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Last modified: September 14, 2010