A Study on Fuzzy 2-absorbing Primary Γ-ideals in Γ-rings

Abstract

In this paper, we initiate the study of a generalization of fuzzy primary Gamma-ideals in Gamma-rings by introducing fuzzy 2-absorbing primary Gamma-ideals and fuzzy strongly 2-absorbing primary Gamma deals. The notions of a fuzzy 2-absorbing primary Gamma-ideal, fuzzy strongly 2-absorbing primary Gamma-ideal and fuzzy weakly completely 2-absorbing primary Eta-ideal are defined and their structural characteristics and properties are investigated. The notion of a fuzzy K - 2-absorbing primary Gamma-ideal is introduced and several of its properties are investigated. Finally, the relationships between fuzzy 2-absorbing primary Gamma-deals of a Gamma-ring are examined.