On The Algebraic Properties of 2-Cyclic Refined Neutrosophic Matrices and The Diagonalization Problem

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dc.contributor.authorSarkis, Maretta
dc.contributor.authorAli, Rozina
dc.contributor.authorNadweh, Rama
dc.date.accessioned2024-03-01T08:03:50Z
dc.date.available2024-03-01T08:03:50Z
dc.date.issued2023-11-04
dc.descriptionNeutrosophic algebraic structures were defined firstly in [1], by adding an algebraic indeterminacy element I to classical algebraic structures to obtain n novel extensions. For example, we can find neutrosophic geometry, neutrosophic functions, neutrosophic rings, and neutrosophic spaces [2-7].
dc.description.abstractThe n-cyclic refined neutrosophic algebraic structures are very diverse and rich materials. In this paper, we study the elementary algebraic properties of 2-cyclic refined neutrosophic square matrices, where we find formulas for computing determinants, eigen values, and inverses. On the other hand, we solve the diagonalization problem of these matrices, where a complete algorithm to diagonlaize every diagonalizable 2-cyclic refined neutrosophic square matrix is obtained and illustrated by many related examples. Key Words: n-cyclic refined neutrosophic ring, n –cyclic refined neutrosophic matrix, the diagonalization problem.
dc.identifier.citationNadweh, R. A., Ali, R., & Sarkis, M. (2023). On The Algebraic Properties of 2-Cyclic Refined Neutrosophic Matrices and The Diagonalization Problem. Neutrosophic Sets and Systems, 54(1), 7.
dc.identifier.doihttps://doi.org/10.5281/zenodo.7817646
dc.identifier.urihttps://dspace.adu.ac.ae/handle/1/1590
dc.language.isoen
dc.publisherUniversity of New Mexico
dc.titleOn The Algebraic Properties of 2-Cyclic Refined Neutrosophic Matrices and The Diagonalization Problem
dc.typeArticle

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