On Some n-Refined Neutrosophic Groups For  3≤ n ≤ 5

Abuobida M. Ahmed; Sara; Raja Abdullah; Yaser Ahmad

doi:https://doi.org/10.54216/IJNS.220308

Full Length Article

Volume 22 • Issue 3 • PP: 119-127 • 2023

On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5

Abuobida M. Ahmed Alfahal ^1*

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,

Sara Sawalmeh ²

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,

Raja Abdullah Abdulfatah ³

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,

Yaser Ahmad Alhasan ¹

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¹Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia

²Mutah University, Faculty of Science, Mutah, Jordan

³Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.220308

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Received: May 06, 2023 Revised: July 10, 2023 Accepted: October 13, 2023

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Abstract

This paper is dedicated to studying some examples of n-refined neutrosophic groups and their algebraic substructures, where we deal with three different types of them, 3-refined, 4-refined, and 5-refined neutrosophic groups. Also, we present the algebraic structure of many substructures such as 3-refined neutrosophic AH-subgroups and kernels, 4-refined neutrosophic AH-homomorphisms and subgroups, and 5-refined neutrosophic AH-isomorphisms. On the other hand, many related examples will be provided to explain the algebraic concepts and their properties.

Keywords

3-refined neutrosophic group 4-refined neutrosophic group 5-refined neutrosophic group.

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Alfahal, Abuobida M. Ahmed, Sawalmeh, Sara, Abdulfatah, Raja Abdullah, Alhasan, Yaser Ahmad. "On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5." International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 3, 2023, pp. 119-127. DOI: https://doi.org/10.54216/IJNS.220308

Alfahal, A., Sawalmeh, S., Abdulfatah, R., Alhasan, Y. (2023). On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5. International Journal of Neutrosophic Science, Volume 22(Issue 3), 119-127. DOI: https://doi.org/10.54216/IJNS.220308

Alfahal, Abuobida M. Ahmed, Sawalmeh, Sara, Abdulfatah, Raja Abdullah, Alhasan, Yaser Ahmad. "On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5." International Journal of Neutrosophic Science Volume 22, no. Issue 3 (2023): 119-127. DOI: https://doi.org/10.54216/IJNS.220308

Alfahal, A., Sawalmeh, S., Abdulfatah, R., Alhasan, Y. (2023) 'On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5', International Journal of Neutrosophic Science, Volume 22(Issue 3), pp. 119-127. DOI: https://doi.org/10.54216/IJNS.220308

Alfahal A, Sawalmeh S, Abdulfatah R, Alhasan Y. On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5. International Journal of Neutrosophic Science. 2023;Volume 22(Issue 3):119-127. DOI: https://doi.org/10.54216/IJNS.220308

A. Alfahal, S. Sawalmeh, R. Abdulfatah, Y. Alhasan, "On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5," International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 3, pp. 119-127, 2023. DOI: https://doi.org/10.54216/IJNS.220308

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