Γ- Near- Fields and their Characterization by Bi-ideals

In this paper we introduce a new definition for Γ-near- fields firstly. The definition of Γ-near- field in is similar to the definition of the general field and we do not actually know any Γ-near-field different from a near-field that satisfies this definition. According to these new definitions we will give some characterizations through bi-ideals on Γ-near-field in different way.