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: 01-18, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Finding the Units Tables of Finite Neutrosophic Rings Modulo Integers Z_n (I) for 3≤n≤16

Stipan Podobnic 1 *

  • 1 Department of Mathematics, University of Rijeka, City of Rijeka, Croatia - (Stipanpod133@Uniri.hr)
  • Doi: https://doi.org/10.54216/JNFS.090101

    Received: December 24, 2023 Revised: March 20, 2024 Accepted: July 14, 2024
    Abstract

    This paper is dedicated to finding all invertible elements (algebraic units) in 14 different finite neutrosophic rings modulo integers 𝑍𝑛(𝐼) for all 3≤n≤16. We arrange the elements of the group of units of each ring in a table called the units table of the ring.

     

    Keywords :

    Group of units , Units table , Finite neutrosophic ring , Integer

      ,

    References

    [1]      Sadiq. B., “A Contribution To The group Of Units Problem in Some 2-Cyclic Refined Neutrosophic Rings ", International Journal of Neutrosophic Science, 2022.

    [2]      Alrida Basheer, Katy D. Ahmad, Rozina Ali., "Examples on Some Novel Diophantine Equations Derived from the Group of Units Problem in n-Cyclic Refined Neutrosophic Rings of Integers", Galoitica Journal of Mathematical Structures and Applications, Vol.3, 2022.

    [3]      Basheer, A., Ahmad, K., and Ali, R., “A Short Contribution to Von Shtawzen's Abelian Group in n-Cyclic Refined Neutrosophic Rings", Journal of Neutrosophic and Fuzzy Systems, 2022.

    [4]      Von Shtawzen, O., “On a Novel Group Derived from a Generalization of Integer Exponents and Open Problems", Galoitica journal Of Mathematical Structures and Applications, Vol 1, 2022.

    [5]      Sankari, H., and Abobala, M., “On the Group of Units Classification In 3-Cyclic and 4-cyclic Refined Rings of Integers and the Proof of Von Shtawzens' Conjectures", International Journal of Neutrosophic Science, 2023.

    [6]      Sankari, H., and Abobala, M., “On the Classification of the Group of Units of Rational and Real 2-Cyclic Refined Neutrosophic Rings", Neutrosophic Sets and Systems, 2023.

    [7]      Sankari, H., and Abobala, M., “On the Algebraic Homomorphisms between Symbolic 2-Plithogenic Rings And 2 cyclic Refined Rings", Neutrosophic Sets and Systems, 2023.

     

    [8]      D., K. Bal, M. A., A. Ali, R. (2021). Novel Applications of Neutrosophic AH-Isometries to the Group of Units Problem in Neutrosophic Rings and Refined Neutrosophic Rings. Journal of Neutrosophic and Fuzzy Systems, 1(2), 89-98. DOI: https://doi.org/10.54216/JNFS.010205

     
    Cite This Article As :
    Podobnic, Stipan. Finding the Units Tables of Finite Neutrosophic Rings Modulo Integers Z_n (I) for 3≤n≤16. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2024, pp. 01-18. DOI: https://doi.org/10.54216/JNFS.090101
    Podobnic, S. (2024). Finding the Units Tables of Finite Neutrosophic Rings Modulo Integers Z_n (I) for 3≤n≤16. Journal of Neutrosophic and Fuzzy Systems, (), 01-18. DOI: https://doi.org/10.54216/JNFS.090101
    Podobnic, Stipan. Finding the Units Tables of Finite Neutrosophic Rings Modulo Integers Z_n (I) for 3≤n≤16. Journal of Neutrosophic and Fuzzy Systems , no. (2024): 01-18. DOI: https://doi.org/10.54216/JNFS.090101
    Podobnic, S. (2024) . Finding the Units Tables of Finite Neutrosophic Rings Modulo Integers Z_n (I) for 3≤n≤16. Journal of Neutrosophic and Fuzzy Systems , () , 01-18 . DOI: https://doi.org/10.54216/JNFS.090101
    Podobnic S. [2024]. Finding the Units Tables of Finite Neutrosophic Rings Modulo Integers Z_n (I) for 3≤n≤16. Journal of Neutrosophic and Fuzzy Systems. (): 01-18. DOI: https://doi.org/10.54216/JNFS.090101
    Podobnic, S. "Finding the Units Tables of Finite Neutrosophic Rings Modulo Integers Z_n (I) for 3≤n≤16," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 01-18, 2024. DOI: https://doi.org/10.54216/JNFS.090101