The Generalization Of GP-injective Rings

GTMnjective rings are generalized from two aspects in two forms in this paper. We mainly investigate the properties of the EP-injective rings and of the g-G/Mnjective modules.In section 1.1, we firstly introduce the concept of the EP-injective rings and give some equivalent conditions. In section 1.2, we discuss the properties of right kasch, right î––-injective rings and generalize correspondent results in [4]. In section 1.3, we introduce condition (*)and give some characterizations of EP-injective rings which satify condition(*). In section 2, we introduce the concept of the q-GP-injective modules, give some equivalent conditions, and generalize correspondent results in [4].