RETRACTED ARTICLE: On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10

Ibraheem Abu; Abdallah; Mutaz M. Abbas; Ahmed A.; Amani; Norah Mousa

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

Full Length Article

Volume 24 • Issue 3 • PP: 258-267 • 2024

RETRACTED ARTICLE: On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10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

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,

Abdallah Al-Husban ²

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,

Mutaz M. Abbas Ali ³

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,

Ahmed A. Alsaraireh ⁴

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,

Amani Shatarah ⁵

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,

Norah Mousa Alrayes ⁵

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¹Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan

²Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

³Zayed Military College, Department of General Science, UAE

⁴The university of Jordan, Aqaba, Department of computer information systems

⁵Department of Mathematics, College of Science, Taibah University, Al-Madinah, Saudi Arabia

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.240322

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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 The article was retracted on 17 March 2025.

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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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Falahah, Ibraheem Abu, Al-Husban, Abdallah, Ali, Mutaz M. Abbas, Alsaraireh, Ahmed A., Shatarah, Amani, Alrayes, Norah Mousa. "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. Volume 24, no. Issue 3, 2024, pp. 258-267. DOI: https://doi.org/10.54216/IJNS.240322

Falahah, I., Al-Husban, A., Ali, M., Alsaraireh, A., Shatarah, A., Alrayes, 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, Volume 24(Issue 3), 258-267. DOI: https://doi.org/10.54216/IJNS.240322

Falahah, Ibraheem Abu, Al-Husban, Abdallah, Ali, Mutaz M. Abbas, Alsaraireh, Ahmed A., Shatarah, Amani, Alrayes, Norah Mousa. "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 Volume 24, no. Issue 3 (2024): 258-267. DOI: https://doi.org/10.54216/IJNS.240322

Falahah, I., Al-Husban, A., Ali, M., Alsaraireh, A., Shatarah, A., Alrayes, 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, Volume 24(Issue 3), pp. 258-267. DOI: https://doi.org/10.54216/IJNS.240322

Falahah I, Al-Husban A, Ali M, Alsaraireh A, Shatarah A, Alrayes 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. 2024;Volume 24(Issue 3):258-267. DOI: https://doi.org/10.54216/IJNS.240322

I. Falahah, A. Al-Husban, M. Ali, A. Alsaraireh, A. Shatarah, N. Alrayes, "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. Volume 24, no. Issue 3, pp. 258-267, 2024. DOI: https://doi.org/10.54216/IJNS.240322

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