Rings in which every simple right R-module is flat

الملخص EN

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 SFrings 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.