Continuous and quasi-continuous modules relative to a module classes

This master thesis consists of four chapters. In the rst chapter, some necessarydenitions and theorems which is needed for our study, (C1), (C2), (C3) conditionsas well as some properties of these conditions are given. In the second chapter,extending, (quasi-)continuous and continuous modules are examined accorded toone family of submodules that ts into (C1), (C2) and (C3). Besides that, someproperties related with direct sum and extended problems according to short exactsequence in the some chapter. In the third chapter, quasi continous characterizationsis examined for module M which has a uniform dimension according to ring R. By 4thchapter, (C1), (C2) and (C3) conditions are compared with on (C1), (C2) and (C3)conditions in a module and the relations between some of the ring characterizationare studied.