FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 4, PAGES 227-229

Bezout modules and rings

A. A. Tuganbaev

Abstract

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For any ring A, there exist a Bezout ring R and an idempotent e Î R with A @ eRe. Every module over any ring is a direct summand of an endo-Bezout module. Over any ring, every free module of infinite rank is an endo-Bezout module.

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