1
Department of Mathematics, Lebanese International University, Bekaa, Lebanon
(madeline.tahan@liu.edu.lb)
2
Department of Mathematics Yazd University, Yazd, Iran
(davvaz@yazd.ac.ir)
Abstract :
The connection between neutrosophy and algebra has been of great interest with respect to many researchers. The objective of this paper is to provide a connection between neutrosophic ℵ−structures and subtraction algebras. In this regard, we introduce the concept of neutrosophic ℵ−ideals in subtraction algebra. Moreover, we study its properties and find a necessary and sufficient condition for a neutrosophic ℵ−structure to be a neutrosophic ℵ−ideal.
Keywords :
Subtraction algebra , ℵ−structure , Neutrosophic ℵ−ideal , Level set
References :
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| Style | # |
|---|---|
| MLA | Madeleine Al- Tahan, Bijan Davvaz. "Neutrosophic ℵ–Ideals (ℵ-Subalgebras) of Subtraction Algebra." International Journal of Neutrosophic Science, Vol. 3, No. 1, 2020 ,PP. 44-53 (Doi : https://doi.org/10.54216/IJNS.030105) |
| APA | Madeleine Al- Tahan, Bijan Davvaz. (2020). Neutrosophic ℵ–Ideals (ℵ-Subalgebras) of Subtraction Algebra. Journal of International Journal of Neutrosophic Science, 3 ( 1 ), 44-53 (Doi : https://doi.org/10.54216/IJNS.030105) |
| Chicago | Madeleine Al- Tahan, Bijan Davvaz. "Neutrosophic ℵ–Ideals (ℵ-Subalgebras) of Subtraction Algebra." Journal of International Journal of Neutrosophic Science, 3 no. 1 (2020): 44-53 (Doi : https://doi.org/10.54216/IJNS.030105) |
| Harvard | Madeleine Al- Tahan, Bijan Davvaz. (2020). Neutrosophic ℵ–Ideals (ℵ-Subalgebras) of Subtraction Algebra. Journal of International Journal of Neutrosophic Science, 3 ( 1 ), 44-53 (Doi : https://doi.org/10.54216/IJNS.030105) |
| Vancouver | Madeleine Al- Tahan, Bijan Davvaz. Neutrosophic ℵ–Ideals (ℵ-Subalgebras) of Subtraction Algebra. Journal of International Journal of Neutrosophic Science, (2020); 3 ( 1 ): 44-53 (Doi : https://doi.org/10.54216/IJNS.030105) |
| IEEE | Madeleine Al- Tahan, Bijan Davvaz, Neutrosophic ℵ–Ideals (ℵ-Subalgebras) of Subtraction Algebra, Journal of International Journal of Neutrosophic Science, Vol. 3 , No. 1 , (2020) : 44-53 (Doi : https://doi.org/10.54216/IJNS.030105) |