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

Agnes

doi:https://doi.org/10.54216/JNFS.090105

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Volume 9 • Issue 1 • PP: 36-42 • 2024

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

Agnes Osagie ^1*

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¹Cape Peninsula University of Technology, Faculty of Applied Science, South Africa

* Corresponding Author.

DOI https://doi.org/10.54216/JNFS.090105

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

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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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Osagie, Agnes. "On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 9, no. Issue 1, 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, Volume 9(Issue 1), 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 Volume 9, no. Issue 1 (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, Volume 9(Issue 1), pp. 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. 2024;Volume 9(Issue 1):36-42. DOI: https://doi.org/10.54216/JNFS.090105

A. Osagie, "On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 9, no. Issue 1, pp. 36-42, 2024. DOI: https://doi.org/10.54216/JNFS.090105

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