Alireza Najafizadeh - Department of Mathematics, Payame Noor University, I. R. of Iran

Given a ring R; a right R-module M is called finitely quasi-injective if each R-homomorphism from a finitelygenerated submodule of M to M can be extended to an endomorphism of M: In this paper, some conditionsunder which finitely generated finitely quasi-injective modules are of finite Goldie dimensions are given.Moreover, finitely generated finitely quasi-injective Kasch modules are studied