الملخص

A ring  is called right SNF-rings if every simple right R-module is N-flat . In this paper , we give some conditions which are sufficient or equivalent for a right SNF-ring to be n-regular (reduced) .It is shown that 1- If is a GW-ideal of R for every . then ,is reduced if and only if is right SNF-ring. 2- If  is an reversible, then  is regular if and only if  is right GQ-injective and SSNF-ring .