On rings whose simple singular R-modules are GP-injective

Abstract AR

In this work we give a characterization of rings whose simple singular right R-modules are Gp-injective .We prove that if R is a quasi-duo ring whose simple singular right R-modules are Gp-injective, then any reduced right ideal of R is a direct summand.

We also consider that a zero commutative ring with every simple singular left R-module is Gp-injective