Bulgarian Academy of Sciences, Prof. Marin Drinov" Publishing House
Doi
Abstract
Group actions serve as a powerful tool for exploring the symmetry and automorphism properties of rings. In this paper, we examine group actions on intuitionistic fuzzy ideals (IFIs) within a Γ-ring . We introduce the concept of the intrinsic product of IFIs in and explore various properties of intuitionistic fuzzy prime ideals under the influence of group actions. Further, we propose the notion of an intuitionistic fuzzy -prime ideal in . We demonstrate that for an IFI A of , the ideal A^ = ⋂_{g ∈ } Aᵍ represents the largest -invariant IFI contained within A. Additionally, we establish that the -primeness of A^ is uniquely characterized by the -primeness of A. Lastly, we examine the behavior of intuitionistic fuzzy -prime ideals of under a -homomorphism
