On GP-injectivity with some types of rings

الملخص EN

The purpose of this paper is to study GP-injective modules and give some of it is properties.

Also, we proved : (1) If every simple right R-module is GP-injective, and R is reversible ring, then R is a right weakly π-regular.

(2) Let R be a right weakly regular, right quasi-duo ring, if every simple singular right R-module are GP-injective, then R is π-regular.