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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 4PP: 418-424 • 2025

Some New Results about Neutrosophic KU-Module

Mohammed N. Hamidy 1* ,
Majid Mohammed Abed 1
1Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
* Corresponding Author.
Received: September 22, 2024 Revised: November 18, 2024 Accepted: January 29, 2025

Abstract

In this paper, we present new concept namely neutrosophic algebra. Some types of notions such as KU-module, KU-ideal and KU-submodule. We proved that if AI is minimal submodule, then AI ascending (descending) chain condition. On the other hand, more results about Neutrosophic exact sequence and Neutrosophic homomorphism KU-module have been presented.

Keywords

&nbsp KU-Module Maximal ideal Neutrosophic Set Neutrosophic ring Neutrosophic module

References

[1]      F. Smarandache, A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logics, American Research Press, Reoboth, NM, USA, 1998.

[2]      L. A. Zadeh, "Fuzzy sets," Information Control, vol. 8, no. 3, pp. 338-353, 1965.

[3]      A. A. Agboola, A. D. Akwu, and Y. T. Oyebo, "Neutrosophic Groups and Subgroups," Int. J. Math. Combin., vol. 3, pp. 1-9, 2012.

[4]      A. Agboola, A. D. Akinola, and O. Y. Oyebola, "Neutrosophic Rings I," Int. J. Math. Combin., vol. 4, pp. 1-14, 2011.

[5]      N. Olgun and A. Khatib, "Neutrosophic Modules," Journal of Biostatistics and Biometric Applications, vol. 3, no. 2, pp. 1-8, 2018.

[6]      V. Çetkin, B. Pazar Varolz, and H. Aygün, "On neutrosophic submodules of a module," Int. J. Math. Combin., vol. 46, no. 5, pp. 791-799, 2017.

[7]      F. Al-Sharqi, A. Al-Quran, and Z. M. Rodzi, "Multi-Attribute Group Decision-Making Based on Aggregation Operator and Score Function of Bipolar Neutrosophic Hypersoft Environment," Neutrosophic Sets and Systems, vol. 61, no. 1, pp. 465-492, 2023.

[8]      M. U. Romdhini et al., "Laplacian energy of interval-valued fuzzy graph and its applications," Sains Malaysiana, vol. 52, no. 7, pp. 2127–2137, 2023.

[9]      Y. Al-Qudah, A. Jaradat, S. K. Sharma, and V. K. Bhat, "Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension," Physica Scripta, vol. 99, no. 5, p. 055252, 2024.

[10]   Al-Quran, F. Al-Sharqi, A. U. Rahman, and Z. M. Rodzi, "The q-rung orthopair fuzzy-valued neutrosophic sets: Axiomatic properties, aggregation operators and applications," AIMS Mathematics, vol. 9, no. 2, pp. 5038-5070, 2024.

[11]   J. N. Ismail et al., "Enhancing Decision Accuracy in DEMATEL using Bonferroni Mean Aggregation under Pythagorean Neutrosophic Environment," Journal of Fuzzy Extension & Applications, vol. 4, no. 4, pp. 281-298, 2023.

[12]   M. A. Ansari and A. N. Koam, "On KU-Modules Over KU-Algebras," Int. J. Analysis and Applications, vol. 22, pp. 57-57, 2024.

[13]   A. Alvaracín Jarrín, D. S. Proaño Tamayo, S. A. Montecé Giler, J. C. Arandia Zambrano, and D. M. Macazana, "Neutrosophic statistics applied in social science," Neutrosophic Sets and Systems, vol. 44, no. 1, pp. 1-12, 2021.

[14]   N. Hassan and Y. Al-Qudah, "Fuzzy parameterized complex multi-fuzzy soft set," Journal of Physics: Conference Series, vol. 1212, p. 012016, 2019.

[15]   E. Ghazi and S. O. Al-Salihi, "A robust framework for medical diagnostics based on interval valued Q-neutrosophic soft sets with aggregation operators," Neutrosophic Sets and Systems, vol. 68, pp. 165-186, 2024.

[16]   M. M. Abed, A. F. Al-Jumaili, and F. G. Al-sharqi, "Some mathematical structures in a topological group," Journal of Algebra and Applied Mathematics, vol. 16, no. 2, pp. 99-117, 2018.

[17]   M. M. Abed, F. Al-Sharqi, and S. H. Zail, "A Certain Conditions on Some Rings Give P.P. Ring," Journal of Physics: Conference Series, vol. 1818, no. 1, p. 012068, 2021.

[18]   D. A. Jarwan and M. M. Abed, "Applications of neutrosophic rings whose elements are regular," Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 5, pp. 1599-1604, 2024.

[19]   N. H. Ali and M. M. Abed, "Some applications of Weak-multiplication modules in Neutrosophic set environment," Advances in the Theory of Nonlinear Analysis and its Applications, vol. 7, no. 4, pp. 47-53, 2023.

[20]   K. Alhazaymeh, Y. Al-Qudah, N. Hassan, and A. M. Nasruddin, "Cubic vague set and its application in decision making," Entropy, vol. 22, no. 9, p. 963, 2020.

[21]   Hazaymeh, R. Saadeh, R. Hatamleh, M. W. Alomari, and A. Qazza, "A perturbed Milne’s quadrature rule for n-times differentiable functions with Lp-error estimates," Axioms, vol. 12, no. 9, p. 803, 2023.

[22]   A. Hazaymeh and A. Bataihah, "Neutrosophic fuzzy metric spaces and fixed points for contractions of nonlinear type," Neutrosophic Sets and Systems, vol. 77, pp. 96-112, 2025.

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Hamidy, Mohammed N., Abed, Majid Mohammed. "Some New Results about Neutrosophic KU-Module." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, 2025, pp. 418-424. DOI: https://doi.org/10.54216/IJNS.250435
Hamidy, M., Abed, M. (2025). Some New Results about Neutrosophic KU-Module. International Journal of Neutrosophic Science, Volume 25(Issue 4), 418-424. DOI: https://doi.org/10.54216/IJNS.250435
Hamidy, Mohammed N., Abed, Majid Mohammed. "Some New Results about Neutrosophic KU-Module." International Journal of Neutrosophic Science Volume 25, no. Issue 4 (2025): 418-424. DOI: https://doi.org/10.54216/IJNS.250435
Hamidy, M., Abed, M. (2025) 'Some New Results about Neutrosophic KU-Module', International Journal of Neutrosophic Science, Volume 25(Issue 4), pp. 418-424. DOI: https://doi.org/10.54216/IJNS.250435
Hamidy M, Abed M. Some New Results about Neutrosophic KU-Module. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 4):418-424. DOI: https://doi.org/10.54216/IJNS.250435
M. Hamidy, M. Abed, "Some New Results about Neutrosophic KU-Module," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, pp. 418-424, 2025. DOI: https://doi.org/10.54216/IJNS.250435
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