Rings in which Every Simple Right R-Module is Flat

Abstract

The objective of this paper is to initiate the study of rings in which each simple right R-module is flat, such rings will be called right SF-rings. Some important properties of right SF-rings are obtained. Among other results we prove that: If R is a semi prime ERT right SF-ring with zero socle, then R is a strongly regular ring.

Keywords

• strongly regular rings
• sf-ring
• reduced rings