Ideal convergence of Folner sequence on amenable semigroups

This thesis includes six chapters. A general knowledge of literature is given in the first chapter. In the second chapter, basic notions are mentioned. In the third chapter, I-convergence of Folner sequences is defined. In the fourth chapter, the concept of I asymptotically λ-statistical equivalence of Folner sequences is given. In the fifth chapter, the idea of I asymptotically lacunary statistical equivalence of Folner sequences is given. In the last chapter, there are some results and suggestions.