Direct products of approximately groups

In the first part of this thesis, the purpose and importance of the research is mentioned and a summary of the literature is presented. In the second part, proximal relator spaces and approximately semi-groups in proximal relator space are examined. Examples of approximately semi-groups are given and some basic properties of approximate semi-groups are examined. In the third chapter, approximately groups and approximately group homomorphisms are mentioned. In the fourth chapter, direct products of approximately groups are defined and an example is given. In addition, some original results about direct products of approximately groups are presented.