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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2023-11-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/OnTheSymbolic2PlithoSplitComplex.pdf |
| _version_ | 1797648716685901824 |
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| author | Oliver Von Shtawzen Ammar Rawashdeh Karla Zayood |
| author_facet | Oliver Von Shtawzen Ammar Rawashdeh Karla Zayood |
| author_sort | Oliver Von Shtawzen |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T15:35:57Z |
| format | Article |
| id | doaj.art-47c9bdf3503644339e124b6b165426a4 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-11T15:35:57Z |
| publishDate | 2023-11-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-47c9bdf3503644339e124b6b165426a42023-10-26T17:07:57ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2023-11-0159211222On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic PropertiesOliver Von ShtawzenAmmar RawashdehKarla ZayoodThe 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.https://fs.unm.edu/NSS/OnTheSymbolic2PlithoSplitComplex.pdfsplit-complex numbersymbolic 2-plithogenic numbersplit-complex 2-plithogenic matrix |
| spellingShingle | Oliver Von Shtawzen Ammar Rawashdeh Karla Zayood On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties Neutrosophic Sets and Systems split-complex number symbolic 2-plithogenic number split-complex 2-plithogenic matrix |
| title | On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties |
| title_full | On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties |
| title_fullStr | On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties |
| title_full_unstemmed | On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties |
| title_short | On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties |
| title_sort | on the symbolic 2 plithogenic split complex real square matrices and their algebraic properties |
| topic | split-complex number symbolic 2-plithogenic number split-complex 2-plithogenic matrix |
| url | https://fs.unm.edu/NSS/OnTheSymbolic2PlithoSplitComplex.pdf |
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