TG-Supplemented Modules

Abstract

In this work, we define tg-supplemented modules and investigate some properties of these modules. We prove that the finite t-sum of tg-supplemented modules is tg-supplemented. We also prove that the homomorphic image of a distributive tg-supplemented module is tg-supplemented. We give some examples separating tg-supplemented modules from supplemented and generalized circle plus-supplemented modules.