On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties

The objective of this paper is to study for the first time the concept of square real matrices with symbolic 2-plithogenic split-complex entries. Many of their algebraic properties will be discussed and handled, where we find the formula of computing inverses, exponents, and powers of these matrices...

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Bibliographic Details
Main Authors: Oliver Von Shtawzen, Ammar Rawashdeh, Karla Zayood
Format: Article
Language:English
Published: University of New Mexico 2023-11-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/OnTheSymbolic2PlithoSplitComplex.pdf
Description
Summary:The objective of this paper is to study for the first time the concept of square real matrices with symbolic 2-plithogenic split-complex entries. Many of their algebraic properties will be discussed and handled, where we find the formula of computing inverses, exponents, and powers of these matrices by building a ring isomorphism between the ring of split-complex symbolic 2-plithogenic matrices and the direct product of the symbolic 2-plithogenic matrices with itself. Also, we give the interested reader many related examples to clarify the validity of our work.
ISSN:2331-6055
2331-608X