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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 2PP: 206-211 • 2025

On Neutrosophic of BE-Algebra

Marrwa A. Salih 1* ,
Dunia A. Jarwan 2 ,
Majid M. Abed 3
1Department of Mathematics, College of Education for Pure Science, University of Tikrit, Tikrit, Iraq
2Department of Applied Mathematics, College of Science, University of Anbar, Anbar, Iraq
3Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
* Corresponding Author.
Received: February 17, 2024 Revised: May 09, 2024 Accepted: August 18, 2024

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).

Keywords

BE-algebra Neutrosophic set BE-filter BE-subalgebra Atom element

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Salih, Marrwa A., Jarwan, Dunia A., Abed, Majid M.. "On Neutrosophic of BE-Algebra." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 2, 2025, pp. 206-211. DOI: https://doi.org/10.54216/IJNS.250218
Salih, M., Jarwan, D., Abed, M. (2025). On Neutrosophic of BE-Algebra. International Journal of Neutrosophic Science, Volume 25(Issue 2), 206-211. DOI: https://doi.org/10.54216/IJNS.250218
Salih, Marrwa A., Jarwan, Dunia A., Abed, Majid M.. "On Neutrosophic of BE-Algebra." International Journal of Neutrosophic Science Volume 25, no. Issue 2 (2025): 206-211. DOI: https://doi.org/10.54216/IJNS.250218
Salih, M., Jarwan, D., Abed, M. (2025) 'On Neutrosophic of BE-Algebra', International Journal of Neutrosophic Science, Volume 25(Issue 2), pp. 206-211. DOI: https://doi.org/10.54216/IJNS.250218
Salih M, Jarwan D, Abed M. On Neutrosophic of BE-Algebra. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 2):206-211. DOI: https://doi.org/10.54216/IJNS.250218
M. Salih, D. Jarwan, M. Abed, "On Neutrosophic of BE-Algebra," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 2, pp. 206-211, 2025. DOI: https://doi.org/10.54216/IJNS.250218
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