On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems

Katy D.; N.N.Thjeel; M.M. Abdul; R.A.

doi:https://doi.org/10.54216/IJNS.180401

Full Length Article

Volume 18 • Issue 4 • PP: 08-15 • 2022

On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems

Katy D. Ahmad ^1*

mail

,

N.N.Thjeel ²

mail

,

M.M. Abdul Zahra ³

mail

,

R.A. Jaleel ⁴

mail

¹Islamic University Of Gaza, Palestine

²Thi-Qar University, Thi-Qar, Iraq

³Computer Techniques Department, Al-Mustaqbal University College, Hillah, Iraq

⁴Department of Information and Communication Engineering, Al-Nahrain University, Baghdad, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.180401

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Received: February 23, 2022 Accepted: June 15, 2022

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Abstract

This work is dedicated to classifying the general n-refined neutrosophic ring by building a ring isomorphism and the direct product of the corresponding classical rings with itself. On the other hand, we use the classification property to solve the problem of n-refined neutrosophic computing of Eigen values and Eigen vectors of an n-refined neutrosophic matrix. Also, it will be applied to solve n-refined linear systems and models.

Keywords

n-refined neutrosophic ring n-refined neutrosophic matrix neutrosophic eigen value neutrosophic eigen vector.

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Ahmad, Katy D., , N.N.Thjeel, Zahra, M.M. Abdul, Jaleel, R.A.. "On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 4, 2022, pp. 08-15. DOI: https://doi.org/10.54216/IJNS.180401

Ahmad, K., , N., Zahra, M., Jaleel, R. (2022). On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems. International Journal of Neutrosophic Science, Volume 18(Issue 4), 08-15. DOI: https://doi.org/10.54216/IJNS.180401

Ahmad, Katy D., , N.N.Thjeel, Zahra, M.M. Abdul, Jaleel, R.A.. "On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems." International Journal of Neutrosophic Science Volume 18, no. Issue 4 (2022): 08-15. DOI: https://doi.org/10.54216/IJNS.180401

Ahmad, K., , N., Zahra, M., Jaleel, R. (2022) 'On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems', International Journal of Neutrosophic Science, Volume 18(Issue 4), pp. 08-15. DOI: https://doi.org/10.54216/IJNS.180401

Ahmad K, N, Zahra M, Jaleel R. On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 4):08-15. DOI: https://doi.org/10.54216/IJNS.180401

K. Ahmad, N. , M. Zahra, R. Jaleel, "On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 4, pp. 08-15, 2022. DOI: https://doi.org/10.54216/IJNS.180401

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