On Permutation BE-algebra

We present permutation BE-algebras as a new class of BE-algebras and examine their basic features in this work. The goal of this paper is to look into and discuss some new notions in permutation BE-algebras, like permutation upper and permutation ideals, as well as some new algebras of permutation BE-algebras, such as permutation IBE-energetic algebras, transitive permutation BE-algebras, and permutation BE-algebras are introduced. In addition, we look into their relationships in permutation BE-algebras. are also described in terms of permutation. It is demonstrated that for all γ (beta subscript)i, γ (beta subscript)j belongs to X, the permutation upper set A (γ (beta subscript)i , γ (beta subscript)j ) is a permutation filter of if is a permutation BE-algebra.