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International Journal of Neutrosophic Science

Volume 24 , Issue 3 , PP: 258-267, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10

Ibraheem Abu Falahah 1 , Abdallah Al-Husban 2 * , Mutaz M. Abbas Ali 3 , Ahmed A. Alsaraireh 4 , Amani Shatarah 5 , Norah Mousa Alrayes 6

  • 1 Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan - (iabufalahah@hu.edu.jo)
  • 2 Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan - (dralhosban@inu.edu.jo)
  • 3 Zayed Military College, Department of General Science, UAE - (Mesh451144@gmail.com)
  • 4 The university of Jordan, Aqaba, Department of computer information systems - (a.alsarairah@ju.edu.jo)
  • 5 Department of Mathematics, College of Science, Taibah University, Al-Madinah, Saudi Arabia - (ashatarah@taibahu.edu.sa)
  • 6 Department of Mathematics, College of Science, Taibah University, Al-Madinah, Saudi Arabia - (Nrees@taibahu.edu.sa)

    • Doi: https://doi.org/10.54216/IJNS.240322

    Received: September 05, 2023 Revised: February 15, 2024 Accepted: May 07, 2024
    Abstract

    This paper is concerned with studying symbolic m-plithogenic vector spaces with finite orders between 6 and 10, where it defines and characterizes the AH-subspaces, AH-kernels, and AH- linear transformations in five different symbolic m-plithogenic spaces (6-plithogenic, 7-plithogenic,10-plithogenic vector spaces). Also, we prove many theorems that describe the computation of the kernels and direct images of the plithogenic AH-linear transformations.

    Keywords :

    6-plithogenic vector space , 7-plithogenic AH-kernel , 8-plithogenic AH-image , 10-plithgenic space.

    References

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    [27] Necati Olgun. (2023). On The 15-Plithogenic Square Real Matrices. Galoitica: Journal of Mathematical Structures and Applications, 9 ( 2 ), 41-48 (Doi   :  https://doi.org/10.54216/GJMSA.090205).

    [28] Noor Edin Rabeh, Othman Al-Basheer, Sara Sawalmeh, Rozina Ali. (2023). An Algebraic Approach to n-Plithogenic Square Matrices For 18 ≤ n ≤ 19. Journal of Neutrosophic and Fuzzy Systems, 7 ( 2 ), 08-23 (Doi  :  https://doi.org/10.54216/JNFS.070201)

     

     

     

     

    Cite This Article As :
    Abu, Ibraheem. , Al-Husban, Abdallah. , M., Mutaz. , A., Ahmed. , Shatarah, Amani. , Mousa, Norah. On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 258-267. DOI: https://doi.org/10.54216/IJNS.240322
    Abu, I. Al-Husban, A. M., M. A., A. Shatarah, A. Mousa, N. (2024). On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10. International Journal of Neutrosophic Science, (), 258-267. DOI: https://doi.org/10.54216/IJNS.240322
    Abu, Ibraheem. Al-Husban, Abdallah. M., Mutaz. A., Ahmed. Shatarah, Amani. Mousa, Norah. On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10. International Journal of Neutrosophic Science , no. (2024): 258-267. DOI: https://doi.org/10.54216/IJNS.240322
    Abu, I. , Al-Husban, A. , M., M. , A., A. , Shatarah, A. , Mousa, N. (2024) . On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10. International Journal of Neutrosophic Science , () , 258-267 . DOI: https://doi.org/10.54216/IJNS.240322
    Abu I. , Al-Husban A. , M. M. , A. A. , Shatarah A. , Mousa N. [2024]. On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10. International Journal of Neutrosophic Science. (): 258-267. DOI: https://doi.org/10.54216/IJNS.240322
    Abu, I. Al-Husban, A. M., M. A., A. Shatarah, A. Mousa, N. "On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10," International Journal of Neutrosophic Science, vol. , no. , pp. 258-267, 2024. DOI: https://doi.org/10.54216/IJNS.240322

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