Volume 25 , Issue 2 , PP: 206-211, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Marrwa A. Salih 1 , Dunia A. Jarwan 2 , Majid M. Abed 3 *
Doi: https://doi.org/10.54216/IJNS.250218
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).
BE-algebra , Neutrosophic set , BE-filter , BE-subalgebra , Atom element
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