A study on fuzzy 2-absorbing primary Г-ideals in Г-rings

Abstract

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