On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5

Isra; Ibraheem Abu; Talat; Ahmed Soiman Rashed; Jenan; Abdallah

doi:https://doi.org/10.54216/IJNS.250213

Full Length Article

Volume 25 • Issue 2 • PP: 155-164 • 2025

On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5

Isra Al-Shbeil ^1*

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,

Ibraheem Abu Falahah ²

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,

Talat Alkhouli ³

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,

Ahmed Soiman Rashed Alhawiti ⁴

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,

Jenan Shtayat ⁵

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,

Abdallah Al-Husban ⁶

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¹Department of Mathematics, faculty of science, University of Jordan, Amman 11942, Jordan

²Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan

³Applied Science Department, Aqaba University College, Al-Balqa Applied University, Jordan

⁴Applied Science Department, Aqaba University College, Balqa Applied University, Jordan

⁵Department of mathematics, Yarmouk University, Irbid 21163, Jordan

⁶Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan; Jadara Research center, Jadara University, Irbid 21110, Jordan

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.250213

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Received: February 11, 2024 Revised: April 29, 2024 Accepted: August 02, 2024

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Abstract

In this paper, we have defined the concept of two-fold maximal units in finite two-fold neutrosophic rings modulo integers, where a sufficient and necessary condition for such class of generalized units will be provided. We characterize all maximal units in the following two-fold neutrosophic rings(Z_n (I))_(f_I ) for nE{2,3,4,5}.

Keywords

Two-fold algebra Finite neutrosophic ring Modulo integer ring minimal unit

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Al-Shbeil, Isra, Falahah, Ibraheem Abu, Alkhouli, Talat, Alhawiti, Ahmed Soiman Rashed, Shtayat, Jenan, Al-Husban, Abdallah. "On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 2, 2025, pp. 155-164. DOI: https://doi.org/10.54216/IJNS.250213

Al-Shbeil, I., Falahah, I., Alkhouli, T., Alhawiti, A., Shtayat, J., Al-Husban, A. (2025). On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5. International Journal of Neutrosophic Science, Volume 25(Issue 2), 155-164. DOI: https://doi.org/10.54216/IJNS.250213

Al-Shbeil, Isra, Falahah, Ibraheem Abu, Alkhouli, Talat, Alhawiti, Ahmed Soiman Rashed, Shtayat, Jenan, Al-Husban, Abdallah. "On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5." International Journal of Neutrosophic Science Volume 25, no. Issue 2 (2025): 155-164. DOI: https://doi.org/10.54216/IJNS.250213

Al-Shbeil, I., Falahah, I., Alkhouli, T., Alhawiti, A., Shtayat, J., Al-Husban, A. (2025) 'On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5', International Journal of Neutrosophic Science, Volume 25(Issue 2), pp. 155-164. DOI: https://doi.org/10.54216/IJNS.250213

Al-Shbeil I, Falahah I, Alkhouli T, Alhawiti A, Shtayat J, Al-Husban A. On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 2):155-164. DOI: https://doi.org/10.54216/IJNS.250213

I. Al-Shbeil, I. Falahah, T. Alkhouli, A. Alhawiti, J. Shtayat, A. Al-Husban, "On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 2, pp. 155-164, 2025. DOI: https://doi.org/10.54216/IJNS.250213

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