Idempotent reflexive rings whose every simple singular right module are YJ-injective

Abstract EN

In this paper we study rightidempotent reflexive ring whose simple singular right R-module isYJ-injective, we prove that this type of ring is right weakly regular ring, we show that if R is N duo or NCI ring and R is right idempotent reflexive ring whose every simple singular right R-module is YJ-injective then R is reduced weakly regular ring.