FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 5, PAGES 193-200

**Rings over which all modules are
$I$**_{0}-modules

A. A. Tuganbaev

Abstract

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Let $A$ be
a ring that does not contain an infinite set of idempotents that
are orthogonal modulo the ideal $SI(A$_{A}).
It is proved that all $A$-modules are $I$_{0}-modules if
and only if either $A$ is a right
semi-Artinian right V-ring or $A/SI(A$_{A}) is an Artinian serial
ring and the square of the Jacobson radical of $A/SI(A$_{A}) is equal to zero.

Location: http://mech.math.msu.su/~fpm/eng/k07/k075/k07508h.htm

Last modified: February 18, 2008