Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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Volume 9 , Issue 1 , PP: 36-42, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification

Agnes Osagie 1 *

  • 1 Cape Peninsula University of Technology, Faculty of Applied Science, South Africa - (Osagieagne2000@cput.ac.za)
  • Doi: https://doi.org/10.54216/JNFS.090105

    Received: December 27, 2023 Revised: March 25, 2024 Accepted: July 24, 2024
    Abstract

    The objective of this paper is to find all formulas that describe the 3-cyclic refined neutrosophic real solutions of the equation 𝑋𝑛=1 which are called 3-cyclic refined real roots of unity. Also, we classify the algebraic group represented by these solutions as a direct product of some familiar finite abelian groups. On the other hand, we illustrate many examples to clarify the validity of our work.

    Keywords :

    3-cyclic refined number , Root of unity , Abelian group , Direct product

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    Cite This Article As :
    Osagie, Agnes. On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2024, pp. 36-42. DOI: https://doi.org/10.54216/JNFS.090105
    Osagie, A. (2024). On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification. Journal of Neutrosophic and Fuzzy Systems, (), 36-42. DOI: https://doi.org/10.54216/JNFS.090105
    Osagie, Agnes. On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification. Journal of Neutrosophic and Fuzzy Systems , no. (2024): 36-42. DOI: https://doi.org/10.54216/JNFS.090105
    Osagie, A. (2024) . On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification. Journal of Neutrosophic and Fuzzy Systems , () , 36-42 . DOI: https://doi.org/10.54216/JNFS.090105
    Osagie A. [2024]. On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification. Journal of Neutrosophic and Fuzzy Systems. (): 36-42. DOI: https://doi.org/10.54216/JNFS.090105
    Osagie, A. "On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 36-42, 2024. DOI: https://doi.org/10.54216/JNFS.090105