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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
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Volume 23 • Issue 4 • PP: 376-385 • 2024

An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces

Sara Sawalmeh 1*
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,
Cuauhtemoc Samaniego 2
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,
Khakimova Khulkar Khamitovna 3
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1Mutah University, Faculty of Science, Mutah, Jordan
2College of Business Administration, American University of the Middle East, 54200, Egaila, Kuwait
3Tashkent State University of Economics, Uzbekistan
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.230430
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: June 25, 2023 Revised: January 28, 2024 Accepted: March 17, 2024
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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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Sawalmeh, Sara, Samaniego, Cuauhtemoc, Khamitovna, Khakimova Khulkar. "An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, 2024, pp. 376-385. DOI: https://doi.org/10.54216/IJNS.230430
Sawalmeh, S., Samaniego, C., Khamitovna, K. (2024). An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces. International Journal of Neutrosophic Science, Volume 23(Issue 4), 376-385. DOI: https://doi.org/10.54216/IJNS.230430
Sawalmeh, Sara, Samaniego, Cuauhtemoc, Khamitovna, Khakimova Khulkar. "An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces." International Journal of Neutrosophic Science Volume 23, no. Issue 4 (2024): 376-385. DOI: https://doi.org/10.54216/IJNS.230430
Sawalmeh, S., Samaniego, C., Khamitovna, K. (2024) 'An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces', International Journal of Neutrosophic Science, Volume 23(Issue 4), pp. 376-385. DOI: https://doi.org/10.54216/IJNS.230430
Sawalmeh S, Samaniego C, Khamitovna K. An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 4):376-385. DOI: https://doi.org/10.54216/IJNS.230430
S. Sawalmeh, C. Samaniego, K. Khamitovna, "An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, pp. 376-385, 2024. DOI: https://doi.org/10.54216/IJNS.230430
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