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 -module. The main method that was adopted in this generalization is how to obtain a submodule in having the characteristic Quasiinjective. We investigate the relationship between pseudo-injective module and Quasiinjective property of -module. Finally, we introduce a new relationship between Quasiinjective submodule and anti-hopfian module.