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International Journal of Neutrosophic Science

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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

RETRACTED ARTICLE: On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10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

    RETRACTION NOTE: The Editor-in-Chief and the publisher have retracted this article. An investigation by the publisher found a number of articles, including this one, with a number of concerns, including but not limited to compromised editorial handling and peer review process, inappropriate or irrelevant references. Based on the investigation's findings the Editor-in-Chief therefore no longer has confidence in the results and conclusions of this article. The authors have been notified with this decision. The article was retracted on 17 March 2025.
    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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    Cite This Article As :
    Abu, Ibraheem. , Al-Husban, Abdallah. , M., Mutaz. , A., Ahmed. , Shatarah, Amani. , Mousa, Norah. RETRACTED ARTICLE: 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). RETRACTED ARTICLE: 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. RETRACTED ARTICLE: 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) . RETRACTED ARTICLE: 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]. RETRACTED ARTICLE: 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. "RETRACTED ARTICLE: 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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