International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1168 2020 2020 On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems Islamic University Of Gaza, Palestine Katy D. .. Thi-Qar University, Thi-Qar, Iraq N.N N.N.Thjeel Computer Techniques Department, Al-Mustaqbal University College, Hillah, Iraq M.M. Abdul Zahra Department of Information and Communication Engineering, Al-Nahrain University, Baghdad, Iraq R.A. Jaleel 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 2022 08 15 10.54216/IJNS.180401 https://www.americaspg.com/articleinfo/21/show/1168