On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties
1Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
2Department of mathematics, institute of numerical sciences, Gomal University, Dera Ismail Khan 29050, Pakistan
3Computer Techniques Engineering Department, Al-Mustaqbal University, Babil, Iraq
Emails: ca.alfahal@psau.edu.sa; y.alhasan@psau.edu.sa; r.abdulfatah@psau.edu.sa ; mehdaniyal@gmail.com
Abstract
Symbolic n-plithogenic sets came with many generalizations to classical algebraic structures, with many interesting properties and theorems, where the symbolic 2-plithogenic structures are very similar in their algebraic properties to refined neutrosophic algebraic structures. The main goal of this article is to study the algebraic properties of symbolic 2-plithogenic matrices such as the computing on symbolic 2-plithogenic determinants, symbolic 2-plithogenic special values, and symbolic 2-plithogenic representations by linear functions. In addition, many examples will be presented and discussed in terms of theorems to clarify the validity of the content of this paper.
Keywords: symbolic 2-plithogenic matrix; symbolic 2-plithogenic ring; symbolic 2-plithogenic invertibility.