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- Title
On Neutrosophic of BE-Algebra.
- Authors
Salih, Marrwa A.; Jarwan, Dunia A.; Abed, Majid M.
- Abstract
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).
- Subjects
NEUTROSOPHIC logic; ALGEBRA; SET theory; LOGIC; ALGORITHMS
- Publication
International Journal of Neutrosophic Science (IJNS), 2025, Vol 25, Issue 2, p206
- ISSN
2692-6148
- Publication type
Academic Journal
- DOI
10.54216/IJNS.250218