On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems
Katy D. Ahmad 1 *, N.N.Thjeel2, M.M. Abdul Zahra3, R.A. Jaleel 4
1Islamic University Of Gaza, Palestine
2Thi-Qar University, Thi-Qar, Iraq
3 Computer Techniques Department, Al-Mustaqbal University College, Hillah, Iraq
4 Department of Information and Communication Engineering, Al-Nahrain University, Baghdad, Iraq
Emails: katyon765@gmail.com ; nna90619@gmail.com ; musaddaqmahir@mustaqbal-college.edu.iq; iraqit2010@yahoo.com
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.