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

Authors

  • Oliver Von Shtawzen University Of Nizwa, Sultanate Of Oman
  • Ammar Rawashdeh Mutah University, Faculty of Science, Jordan
  • Karla Zayood Online Islamic University, Department Of Science and Information Technology, Doha, Qatar

Keywords:

split-complex number, symbolic 2-plithogenic number, split-complex 2-plithogenic matrix

Abstract

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. 

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Published

2023-10-15

Issue

Vol. 59 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2023 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Oliver Von Shtawzen, Ammar Rawashdeh, & Karla Zayood. (2023). On The Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties. Neutrosophic Sets and Systems, 59, 211-222. https://fs.unm.edu/nss8/index.php/111/article/view/3870