摘要
环R叫做左(右)SF—环,如果每一个单左(右)R—模是平坦的,众所周知,Von neumann正则环是左和右SF—环,本文对SF—环作了些刻化,并且还给出了SF—环是正则环的一些条件。
A ring R is called a left (right) SF—ring if each simple left (right) R—module is flat. It is known that Von Neumann Regular rings are left and right SF—rings. This note contains a characteristic property of SF—rings. Some conditions are also given for SF—rings to be regular.
基金
The aurhors were supported by Anhui Education Council
关键词
正则环
Artin半单环
SF-环
Von Nuemann regular ring, Artinian semisimple ring, SF—Ring.
