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International Journal of Neutrosophic Science
Volume 18 , Issue 4, PP: 08-15 , 2022 | Cite this article as | XML | Html |PDF

Title

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

  Katy D. Ahmad 1 * ,   N.N.Thjeel 2 ,   M.M. Abdul Zahra 3 ,   R.A. Jaleel 4

1  Islamic University Of Gaza, Palestine
    (katyon765@gmail.com)

2  Thi-Qar University, Thi-Qar, Iraq
    (nna90619@gmail.com)

3  Computer Techniques Department, Al-Mustaqbal University College, Hillah, Iraq
    (musaddaqmahir@mustaqbal-college.edu.iq)

4  Department of Information and Communication Engineering, Al-Nahrain University, Baghdad, Iraq
    (iraqit2010@yahoo.com)


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

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

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.

References :

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Cite this Article as :
Style #
MLA Katy D. Ahmad , N.N.Thjeel, M.M. Abdul Zahra, R.A. 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. 18, No. 4, 2022 ,PP. 08-15 (Doi   :  https://doi.org/10.54216/IJNS.180401)
APA Katy D. Ahmad , N.N.Thjeel, M.M. Abdul Zahra, R.A. Jaleel. (2022). On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 08-15 (Doi   :  https://doi.org/10.54216/IJNS.180401)
Chicago Katy D. Ahmad , N.N.Thjeel, M.M. Abdul Zahra, R.A. Jaleel. "On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems." Journal of International Journal of Neutrosophic Science, 18 no. 4 (2022): 08-15 (Doi   :  https://doi.org/10.54216/IJNS.180401)
Harvard Katy D. Ahmad , N.N.Thjeel, M.M. Abdul Zahra, R.A. Jaleel. (2022). On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 08-15 (Doi   :  https://doi.org/10.54216/IJNS.180401)
Vancouver Katy D. Ahmad , N.N.Thjeel, M.M. Abdul Zahra, R.A. Jaleel. On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 4 ): 08-15 (Doi   :  https://doi.org/10.54216/IJNS.180401)
IEEE Katy D. Ahmad, N.N.Thjeel, M.M. Abdul Zahra, R.A. Jaleel, On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 4 , (2022) : 08-15 (Doi   :  https://doi.org/10.54216/IJNS.180401)