FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 2, PAGES 185-194

Rings over which all modules are semiregular

A. A. Tuganbaev

Abstract

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For a ring $A$, it is proved that all $A$-modules are semiregular if and only if $A$ is an Artinian serial ring and $J2(A)\; =\; 0$.

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Last modified: May 23, 2007