Volume 8 • Issue 1 • PP: 39-45 • 2024
On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings
Open Access & Copyright
© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
Abstract
Plithogenic algebraic rings are considered novel generalizations of neutrosophic rings. This paper is dedicated to studying and solving many different types of symbolic 2-plithogenic linear algebraic equations where dual, split-complex, and weak fuzzy linear equations of symbolic 2-plithogenic type will be solved and discussed. Also, we illustrate many numerical examples to clarify the validity of our work.
Keywords
References
[1] Deckelman, S.; Robson, B. Split-Complex Numbers and Dirac Bra-kets. Communications In Information and Systems 2014, 14, 135-159.
[2] Hatip, A., "An Introduction To Weak Fuzzy Complex Numbers ", Galoitica Journal Of Mathematical Structures and Applications, Vol.3, 2023.
[3] Khaldi, A., " A Study On Split-Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.
[4] Ahmad, K., " On Some Split-Complex Diophantine Equations", Neoma Journal Of Mathematics and Computer Science, 2023.
[5] Ali, R., " On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.
[6] Merkepci, M., and Abobala, M., " On Some Novel Results About Split-Complex Numbers, The Diagonalization Problem And Applications To Public Key Asymmetric Cryptography", Journal of Mathematics, Hindawi, 2023.
[7] Mohammad Abobala. (2023). A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Galoitica: Journal of Mathematical Structures and Applications, 6 ( 2 ), 32-35 (Doi : https://doi.org/10.54216/GJMSA.060204).
[8] Hamiyet Merkepci, Mohammad Abobala. (2023). On the Symbolic 2-Plithogenic Rings. International Journal of Neutrosophic Science, 20 ( 3 ), 115-122 (Doi : https://doi.org/10.54216/IJNS.200311).
[9] Hamiyet Merkepci, Ammar Rawashdeh: On The Symbolic 2-Plithogenic Number Theory and Integers. Neutrosophic Sets and Systems, Vol. 54, 2023, pp. 113-123. DOI: 10.5281/zenodo.7817721.
[10] Mohamed Soueycatt. On the Symbolic 2-Plithogenic Weak Fuzzy Complex Numbers. Vol. 59, 2023, pp. 287-295. DOI: zenodo.10031252/10.5281
[11] Oliver Von Shtawzen, Ammar Rawashdeh, Karla Zayood. On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties. Vol. 59, 2023, pp. 211-222. DOI: zenodo.10031206/10.5281
[12]Agboola, A.A.A., Akinola, A.D., and Oyebola, O.Y., " Neutrosophic Rings I" , International J.Mathcombin, Vol 4,pp 1-14. 2011.
[13] Sarkis, M., " On The Solutions Of Fermat's Diophantine Equation In 3-refined Neutrosophic Ring of Integers", Neoma Journal of Mathematics and Computer Science, 2023.
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