On soft topological algebraic structures

In this thesis, soft groups and soft rings are examined by using the soft element concept which is an important constituent in the soft set theory, examples related to each definition are given and relations with similar definitions given previously are obtained. Afterwards, soft topological spaces were investigated in depth and many new results were obtained. In addition, soft topological algebraic structures, which are the main purpose of the this thesis, are studied. Firstly, soft semi-topological groups and then soft topological groups and soft topological rings were defined by giving examples and some results were obtained. Similar studies in previous publications were also included and their relationship with the definitions given in this study were examined.