Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

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

    [1] Merkepci, H., and Abobala, M., " On The Symbolic 2-Plithogenic Rings", International Journal of Neutrosophic Science, 2023.

    [2] Smarandache, F., " Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)", Neutrosophic Sets and Systems, vol. 53, 2023.

    [3] Taffach, N., and Ben Othman, K., " An Introduction to Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings", Neutrosophic Sets and Systems, Vol 54, 2023.

    [4] Albasheer, O., Hajjari., A., and Dalla., R., " On The Symbolic 3-Plithogenic Rings and TheirAlgebraic Properties", Neutrosophic Sets and Systems, Vol 54, 2023.

    [5] Ben Othman, K., "On Some Algorithms For Solving Symbolic 3-Plithogenic Equations", Neoma Journal Of Mathematics and Computer Science, 2023.

    [6] Rawashdeh, A., "An Introduction To The Symbolic 3-plithogenic Number Theory", Neoma Journal Of Mathematics and Computer Science, 2023.

    [7] Alfahal, A.; Alhasan, Y.; Abdulfatah, R.; Mehmood, A.; Kadhim, M. On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties. Int. J. Neutrosophic Sci. 2023, 21.

    [8] Merkepci, H., "On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices", Symmetry, MDPI, 2023.

    [9] Soueycatt, M., Charchekhandra, B., Abu Hakmeh, R., " On The Algebraic Properties Of Symbolic 6-Plithogenic Integers", Neutrosophic Sets and Systems, vol. 59, 2023.

    [10] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Concept Of Symbolic 7-Plithogenic Real Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

    [11] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Symbolic 8-Plithogenic Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

    [12] 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.

    [13] Abobala, M., Hatip, A., and Bal, M., " A Review On Recent Advantages In Algebraic Theory Of Neutrosophic Matrices", International Journal of Neutrosophic Science, Vol.17, 2021.

    [14] Abobala, M., Ziena, M.B., Doewes, R.I., Hussein, Z. The Representation of Refined Neutrosophic Matrices By Refined Neutrosophic Linear Functions, International Journal of Neutrosophic Science, 2022, 19(1), pp. 342–349

     [15] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

    [16] Olgun, N., Hatip, A., Bal, M., and Abobala, M., " A Novel Approach To Necessary and Sufficient Conditions For The Diagonalization of Refined Neutrosophic Matrices", International Journal of neutrosophic Science, Vol. 16, pp. 72-79, 2021.

    [17] Soueycatt, M., Charchekhandra, B., Abu Hakmeh, R., " On The Foundations Of Symbolic 5-Plithogenic Number Theory", Neutrosophic Sets and Systems, vol. 59, 2023.

    [18] Merkepci, H., and Rawashdeh, A., " On The Symbolic 2-Plithogenic Number Theory and Integers ", Neutrosophic Sets and Systems, Vol 54, 2023.

    [19] Isra Al-Shbeil, Wael Mahmoud M. Salameh, Hossam Almahasneh, Khalid Kaabneh, Mutaz Shatnawi, Khaled Al-Husban. (2024). Algorithms for Computing M-Plithogenic Eigen Values and Vectors for Some Special Values of M. International Journal of Neutrosophic Science, 24 ( 1 ), 128-135 (Doi   :  https://doi.org/10.54216/IJNS.240112)

    [20] Smarandache F., and Abobala, M.,  "n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science, Vol. 7, pp. 47-54. 2020.

    [21] Abobala, M.,. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science", Vol. 9, pp.74-85. 2020.

    [22] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings", Neutrosophic Sets and Systems, Vol. 45, 2021.

    [23] Nader Mahmoud Taffach , Ahmed Hatip., "A Review on Symbolic 2-Plithogenic Algebraic Structures " Galoitica Journal Of Mathematical Structures and Applications, Vol.5, 2023.

    [24] Nader Mahmoud Taffach , Ahmed Hatip.," A Brief Review on The Symbolic 2-Plithogenic Number Theory and Algebraic Equations ", Galoitica Journal Of Mathematical Structures and Applications, Vol.5, 2023.

    [25] Abobala, M., "Neutrosophic Real Inner Product Spaces", Neutrosophic Sets and Systems, Vol. 43, 2021.

    [26] P. Prabakaran, Bilal Abdallah, Turayeva Dinara Tulkunovna. (2024). On Certain Algebraic Properties of Symbolic 3-Plithogenic Real Square Matrices. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 350-357 (Doi   :  https://doi.org/10.54216/IJNS.230427).

    [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

    Article Statistics

    View
    506
    Download
    318

    Download