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

aspg-21-1168-1791475397 20261008160317 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 18 4 On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems Katy D. Ahmad Islamic University Of Gaza, Palestine N.N.Thjeel Thi-Qar University, Thi-Qar, Iraq M.M. Abdul Zahra Computer Techniques Department, Al-Mustaqbal University College, Hillah, Iraq R.A. Jaleel Department of Information and Communication Engineering, Al-Nahrain University, Baghdad, Iraq 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. 2022 08 15 1168 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.180401 https://www.americaspg.com/journal/21/article/1168 https://www.americaspg.com/storage/879.pdf