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International Journal of Neutrosophic Science
Volume 23 , Issue 4, PP: 358-368 , 2024 | Cite this article as | XML | Html |PDF

Title

On neutrosophic N-deductive systems of Hilbert algebras

  Aiyared Iampan 1 * ,   N. Rajesh 2

1  Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
    (aiyared.ia@up.ac.th)

2  Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur 613005, Tamilnadu, India
    (nrajesh topology@yahoo.co.in)


Doi   :   https://doi.org/10.54216/IJNS.230429

Received: June 17, 2023 Revised: January 05, 2024 Accepted: February 28, 2024

Abstract :

The notion of neutrosophic N-deductive systems of Hilbert algebras is introduced, and several properties are investigated. Conditions for neutrosophic N-structures to be neutrosophic N-deductive systems of Hilbert algebras are provided. Relations between neutrosophic N-deductive systems and their level subsets are considered. The Cartesian product of neutrosophic N-structures is also supplied. Finally, we also find the property of the homomorphic pre-image of neutrosophic N-deductive systems.

Keywords :

Hilbert algebra; neutrosophic N-structure; neutrosophic N-deductive system; homomorphic pre-image.

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Cite this Article as :
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MLA Aiyared Iampan, N. Rajesh. "On neutrosophic N-deductive systems of Hilbert algebras." International Journal of Neutrosophic Science, Vol. 23, No. 4, 2024 ,PP. 358-368 (Doi   :  https://doi.org/10.54216/IJNS.230429)
APA Aiyared Iampan, N. Rajesh. (2024). On neutrosophic N-deductive systems of Hilbert algebras. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 358-368 (Doi   :  https://doi.org/10.54216/IJNS.230429)
Chicago Aiyared Iampan, N. Rajesh. "On neutrosophic N-deductive systems of Hilbert algebras." Journal of International Journal of Neutrosophic Science, 23 no. 4 (2024): 358-368 (Doi   :  https://doi.org/10.54216/IJNS.230429)
Harvard Aiyared Iampan, N. Rajesh. (2024). On neutrosophic N-deductive systems of Hilbert algebras. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 358-368 (Doi   :  https://doi.org/10.54216/IJNS.230429)
Vancouver Aiyared Iampan, N. Rajesh. On neutrosophic N-deductive systems of Hilbert algebras. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 4 ): 358-368 (Doi   :  https://doi.org/10.54216/IJNS.230429)
IEEE Aiyared Iampan, N. Rajesh, On neutrosophic N-deductive systems of Hilbert algebras, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 4 , (2024) : 358-368 (Doi   :  https://doi.org/10.54216/IJNS.230429)