A Generalization Of Weakly Co-Hopfian Modules

This dissertation consists of four chapters. In Chapter1, we illustrate the background of modules’development, the important roles of the module’s theory in the process of algebra and the progress related to co-Hopfian modules. In Chapter2, some basic definitions and important lemmas related to this paper are given. In Chapter3, we discuss the equivalent characterizations and related corollaries on t-weakly co-Hopfian modules. In Chapter4， we discuss some properties about t-weakly co-Hopfian modules.