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

Stipan

doi:https://doi.org/10.54216/JNFS.090101

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Volume 9 • Issue 1 • PP: 01-18 • 2024

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

Stipan Podobnic ^1*

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¹Department of Mathematics, University of Rijeka, City of Rijeka, Croatia

* Corresponding Author.

DOI https://doi.org/10.54216/JNFS.090101

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

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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 &nbsp

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

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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. Volume 9, no. Issue 1, 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, Volume 9(Issue 1), 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 Volume 9, no. Issue 1 (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, Volume 9(Issue 1), pp. 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. 2024;Volume 9(Issue 1):01-18. DOI: https://doi.org/10.54216/JNFS.090101

S. Podobnic, "Finding the Units Tables of Finite Neutrosophic Rings Modulo Integers Z_n (I) for 3≤n≤16," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 9, no. Issue 1, pp. 01-18, 2024. DOI: https://doi.org/10.54216/JNFS.090101

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