On The Algebraic Classification of the 4-Cyclic Refined Neutrosophic Real Roots of Unity Group

Agnes

doi:https://doi.org/10.54216/GJMSA.0110204

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Volume 11 • Issue 2 • PP: 28-36 • 2024

On The Algebraic Classification of the 4-Cyclic Refined Neutrosophic Real Roots of Unity Group

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/GJMSA.0110204

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Received: December 10, 2023 Revised: April 08, 2024 Accepted: July 28, 2024

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Abstract

This paper is dedicated to finding all 4-cyclic refined neutrosophic real solutions of the equation 𝑋𝑛=1 which are called 4-cyclic refined real roots of unity. Also, we classify the algebraic group of these solutions as a direct product of some familiar finite cyclic groups. On the other hand, we illustrate many examples to clarify the validity of our work.

Keywords

4-cyclic refined number 4-cyclic neutrosophic root of unity Abelian group Direct product

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Osagie, Agnes. "On The Algebraic Classification of the 4-Cyclic Refined Neutrosophic Real Roots of Unity Group." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 11, no. Issue 2, 2024, pp. 28-36. DOI: https://doi.org/10.54216/GJMSA.0110204

Osagie, A. (2024). On The Algebraic Classification of the 4-Cyclic Refined Neutrosophic Real Roots of Unity Group. Galoitica: Journal of Mathematical Structures and Applications, Volume 11(Issue 2), 28-36. DOI: https://doi.org/10.54216/GJMSA.0110204

Osagie, Agnes. "On The Algebraic Classification of the 4-Cyclic Refined Neutrosophic Real Roots of Unity Group." Galoitica: Journal of Mathematical Structures and Applications Volume 11, no. Issue 2 (2024): 28-36. DOI: https://doi.org/10.54216/GJMSA.0110204

Osagie, A. (2024) 'On The Algebraic Classification of the 4-Cyclic Refined Neutrosophic Real Roots of Unity Group', Galoitica: Journal of Mathematical Structures and Applications, Volume 11(Issue 2), pp. 28-36. DOI: https://doi.org/10.54216/GJMSA.0110204

Osagie A. On The Algebraic Classification of the 4-Cyclic Refined Neutrosophic Real Roots of Unity Group. Galoitica: Journal of Mathematical Structures and Applications. 2024;Volume 11(Issue 2):28-36. DOI: https://doi.org/10.54216/GJMSA.0110204

A. Osagie, "On The Algebraic Classification of the 4-Cyclic Refined Neutrosophic Real Roots of Unity Group," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 11, no. Issue 2, pp. 28-36, 2024. DOI: https://doi.org/10.54216/GJMSA.0110204

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