Compressible modüller ve compressible modüllerin genellemeleri

This study consists of three chapters, firstly we present some definitions and theorems which are used in the subsequent chapters.This characterization of a critically compressible module is given in terms of torsion free and uniform modules. A sufficient condition for a module to be critically compressible module is given. It has been shown that a critically compressible module is indecomposable. A sufficient condition for an injective hull of critically compressible module to be critically compressible module. Finally, it has been proved that Noetherian critically compressible modules and Noetherian compressible modules are equivalent.We have studied essentially slightly compressible modules and rings,which are natural generalizations of essentially compressible modules and rings.It has also been given an example of an essentially slightly compressible module which is not essentially compressible module. Furthermore,it has been shown that direct sums of essentially slightly compressible modules are essentially slightly compressible modules.Keywords: compressible modules, slightly compressible modules, critically compressible modules, essentially compressible modules and essentially slightly compressible modules.