FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 3, PAGES 903-911

Projective modules over bounded Dedekind rings

A. A. Tuganbaev

Abstract

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If $A$ is a bounded Dedekind prime ring and $M$ is an $A$-module, then $M$ is a projective module if and only if $M$ is a $$p-projective nontorsion module, and either the module $M$ is reduced, or $A$ is a simple Artinian ring.

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Last modified: December 8, 2000