In this paper we study the relationship between Essentially Small Quasi-Dedekind modules and anti-hopfian modules. Also, we give some examples which illustrate these relations.
Let R be a Ring with identity and let T be a unitary left Module over R. In this paper, we recall the concepts of generalized projectivity and *generalized projectivity. These types of projectivity are very useful for the study on direct sums of Modules to be semihollow-lifting.
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