Bulletin of the Australian Mathematical Society

Table of Contents - February 1971 - Volume 4, Issue 01  

Research Article

A note on modules over regular rings

K. M. Rangaswamya1 and N. Vanajaa1

a1 Madurai University, Madurai – 2 Tamil Nadu, India.

Abstract

It is shown that a von Neumann regular ring R is left seif-injective if and only if every finitely generated torsion-free left R-module is projective. It is further shown that a countable self-injective strongly regular ring is Artin semi-simple.

(Received August 25 1970)