Dual modules of modules with the absolute direct summand property

Fuchs called the absolute direct summand property (in short, Ads) for modules in 1970 and examined this module class. After Fuchs, many mathematicians have researched on this module class. Especially in recent years there has been an increase in studies on this module class. In 2012, Keskin Tütüncü defined dual modules of Ads modules called Ads* and studied on this module class. In this thesis, some properties of Ads* module were examined. For this purpose, firstly the basic definitions and theorems that will be used in our study were presented. Necessary and sufficient conditions for an arbitrary module and an Amply supplemented module to become an Ads* module were given. It has also been shown that the Ads* module is closed under direct summands.