On Neutrosophic of BE-Algebra.

Salih, Marrwa A.; Jarwan, Dunia A.; Abed, Majid M.

The BE-Algebra was presented by Kim in 2007. After that, several authors studied this type of logic concept in algebra. In this paper, we introduce more properties and remarks of BE-Algebra. Note that (A, *, 1) is called BE-algebra if ∀ a ∈A, b, c ∈A: collect a * a = 1, a*1=1, 1*a=a and a*(b*c)=b*(a*c). In addition, a Neutrosophic BE-filter FI subset of the Neutrosophic BE-algebra is Neutrosophic BE-algebra AI is Neutrosophic BE-subalgebra AI. Some new results and the criterion to determine some properties of BE-algebra and several relationships with another algebra namely Hibert algebras (H-algebra).

NEUTROSOPHIC logic; ALGEBRA; SET theory; LOGIC; ALGORITHMS

International Journal of Neutrosophic Science (IJNS), 2025, Vol 25, Issue 2, p206

2692-6148

Academic Journal

10.54216/IJNS.250218