International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 23 , Issue 3 , PP: 208-219, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic N-structures over 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.230318

    Received: July 28, 2023 Revised: November 09, 2023 Accepted: February 01, 2024
    Abstract

    The notions of neutrosophic N-subalgebras and neutrosophic N-ideals of Hilbert algebras are introduced, and several properties are investigated. Conditions for neutrosophic N-structures to be neutrosophic Nsubalgebras and neutrosophic N-ideals of Hilbert algebras are provided. The Cartesian product of neutrosophic N-structures is also supplied. Finally, we also find the property of the homomorphic pre-image of neutrosophic N-subalgebras and neutrosophic N-ideals.

    Keywords :

    Hilbert algebra , neutrosophic N-subalgebra , neutrosophic N-ideal , homomorphic pre-image.

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    Cite This Article As :
    Iampan, Aiyared. , Rajesh, N.. Neutrosophic N-structures over Hilbert algebras. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 208-219. DOI: https://doi.org/10.54216/IJNS.230318
    Iampan, A. Rajesh, N. (2024). Neutrosophic N-structures over Hilbert algebras. International Journal of Neutrosophic Science, (), 208-219. DOI: https://doi.org/10.54216/IJNS.230318
    Iampan, Aiyared. Rajesh, N.. Neutrosophic N-structures over Hilbert algebras. International Journal of Neutrosophic Science , no. (2024): 208-219. DOI: https://doi.org/10.54216/IJNS.230318
    Iampan, A. , Rajesh, N. (2024) . Neutrosophic N-structures over Hilbert algebras. International Journal of Neutrosophic Science , () , 208-219 . DOI: https://doi.org/10.54216/IJNS.230318
    Iampan A. , Rajesh N. [2024]. Neutrosophic N-structures over Hilbert algebras. International Journal of Neutrosophic Science. (): 208-219. DOI: https://doi.org/10.54216/IJNS.230318
    Iampan, A. Rajesh, N. "Neutrosophic N-structures over Hilbert algebras," International Journal of Neutrosophic Science, vol. , no. , pp. 208-219, 2024. DOI: https://doi.org/10.54216/IJNS.230318