Abstract:

 Let R be a ring. A right R-module M is called finitely quasi-injective if each R-homomorphism from a finitely generated submodule of M to M can be extended to an endomorphism of M. Some characterizations and properties of finitely quasi-injective modules are given, and some finitely generated finitely quasi-injective modules are investigated.

Key words: finitely quasi-injective modules; PQ-injective modules; endomorphism rings; annihilators