1
Mutah University, Faculty of Science, Mutah, Jordan
(Sarahsawalmeh98@gmail.com)
2
College of Business Administration, American University of the Middle East, 54200, Egaila, Kuwait
(jose.reyna@aum.edu.kw)
3
Tashkent State University of Economics, Uzbekistan
(x.xakimova@tsue.uz)
Abstract :
The objective of this paper is to study for the first time the concept of symbolic 5-plithogenic vector space defined over symbolic 5-plithogenic field. Many results about the algebraic properties of this class of spaces will be obtained, where we define AH-subspaces, AH-linear transformations, and kernels. Also, we study the inner products defined over symbolic 5-plithogenic vector spaces and determine the conditions of orthogonality in these spaces with many interesting examples.
Keywords :
symbolic 5-plithogenic vector space; AH-kernel; basis; plithogenic set
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| Style | # |
|---|---|
| MLA | Sara Sawalmeh, Cuauhtemoc Samaniego, Khakimova Khulkar Khamitovna. "An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces." International Journal of Neutrosophic Science, Vol. 23, No. 4, 2024 ,PP. 376-385 (Doi : https://doi.org/10.54216/IJNS.230430) |
| APA | Sara Sawalmeh, Cuauhtemoc Samaniego, Khakimova Khulkar Khamitovna. (2024). An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 376-385 (Doi : https://doi.org/10.54216/IJNS.230430) |
| Chicago | Sara Sawalmeh, Cuauhtemoc Samaniego, Khakimova Khulkar Khamitovna. "An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces." Journal of International Journal of Neutrosophic Science, 23 no. 4 (2024): 376-385 (Doi : https://doi.org/10.54216/IJNS.230430) |
| Harvard | Sara Sawalmeh, Cuauhtemoc Samaniego, Khakimova Khulkar Khamitovna. (2024). An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 376-385 (Doi : https://doi.org/10.54216/IJNS.230430) |
| Vancouver | Sara Sawalmeh, Cuauhtemoc Samaniego, Khakimova Khulkar Khamitovna. An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 4 ): 376-385 (Doi : https://doi.org/10.54216/IJNS.230430) |
| IEEE | Sara Sawalmeh, Cuauhtemoc Samaniego, Khakimova Khulkar Khamitovna, An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 4 , (2024) : 376-385 (Doi : https://doi.org/10.54216/IJNS.230430) |