On Q-Injective, Duo Submodules of C1-Module

Abstract

This note investigates modules having quasi-injective and duo submodules. We introduce a new generalization of C_1-module. The main method that was adopted in this generalization is how to obtain a submodule N in M having the characteristic Quasi-injective. We investigate the relationship between pseudo-injective module and Quasi-injective property of C_1-module. Finally, we introduce a new relationship between Quasi-injective submodule and anti-hopfian module.