… injective modules ar'e considered in place of injective modules. These … module theory (see
[4]). Throughout, all rings considered have an identity and all modules are unita1 left modules…

… otherwise mentioned all modules are unitary left It'modules. For any module M we denote
by E (111). 髓().(],) and Soc (f) the injective envelope, the quaSi—injective envelope (see [3]). …

… Moreover, Lopez in [12] introduced the concept of quasi-injective acts. An S-act AS is called
quasi-injective if for each subact H of AS and each S-homomorphismα: H → AS, there is an S…

… fine proerty of module class was provided ,and the theorem 2.3 in reference [ 6] was generalized.
Key words :GV- ring ,socle ,(quosi-)injective module ,indecomposable singular module …