Generalizations Of I-supplemented Module

This dissertation consists of four chapters. In Chapter1, we illustrate thebackgrounds of module’s development, the important roles of the module’s theoryin the process of algebra and the progress related to supplemented modules and I-supplemented modules. In Chapter2, some basic defnitions and important lemmasrelated to this paper are given. In Chapter3, we defne cofnitely I-supplementedmodules and some properties of cofnitely I-supplemented modules are given. InChapter4, we defne I-weak supplemented modules, cofnitely I-weak supplementedmodules and⊕-cofnitely I-weak supplemented modules, and some properties ofthem are given.