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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 9 • Issue 2 • PP: 110-116 • 2020

AH-Substructures in Strong Refined Neutrosophic Modules

Mohammad Abobala 1*
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Ahmad Hatip 2
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1Faculty of science, Tishreen University, Syria
2Department of Mathematics, Gaziantep University, Turkey
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.090205
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© 2020 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: April 22, 2020 Accepted: July 18, 2020
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Abstract

The objective of this paper is to define and study the concepts of strong AH-submodule, and AH-homomorphism in a refined neutrosophic module. Also, this work describes the algebraic structure of all AH-endomorphisms defined over a refined neutrosophic module.

Keywords

Refined&nbsp neutrosophic module Strong AH-submodule AH-homomorphism

References

[1] Abobala, M., "On Some Special Substructures of Neutrosophic Rings and Their Properties", International Journal of Neutrosophic Science", Vol. 4 , pp. 72-81, 2020.

[2] Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings", International Journal of     Neutrosophic Science, Vol. 5, pp. 59-66, 2020.

[3] Abobala, M,. "Classical Homomorphisms Between Refined Neutrosophic Rings and Neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 5, pp. 72-75, 2020.

[4] Abobala, M., "AH-Subspaces in Neutrosophic Vector Spaces", International Journal of Neutrosophic Science, Vol. 6 , pp. 80-86, 2020.

[5] Abobala, M., and Alhamido, R., "AH-Substructures in Neutrosophic Modules", International Journal of Neutrosophic Science, Vol. 7, pp. 79-86 , 2020.

[6] Agboola, A.A.A., “On Refined Neutrosophic Algebraic Structures”, Neutrosophic Sets and Systems,Vol.10, pp. 99-101, 2015. 

[7]Adeleke, E.O., Agboola, A.A.A.,and Smarandache, F., "RefinedNeutrosophicRings I",International Journal of Neutrosophic Science, Vol. 2(2), pp. 77-81, 2020. 

[8] Adeleke, E.O., Agboola, A.A.A., and Smarandache, F.,"Refined Neutrosophic Rings II",International Journal of Neutrosophic Science, Vol. 2(2), pp. 89-94, 2020

[9] Atanassov, K., “Intuitionistic Fuzzy Sets”, Fuzzy Sets and Systems, 20, pp.87-96, 1986.

[10] Olgun, N., and Khatib, A., "Neutrosophic Modules", Journal of Biostatistic and Biometric Application", Vol. 3, 2018.

[11] Olgun, N., and Hatip, A., " On Refined Neutrosophic R-Module", International Journal of Neutrosophic Science, Vol. 7, pp.87-96, 2020.

[12] Turksen, I., “Interval valued fuzzy sets based on normal forms”, Fuzzy Sets and Systems, 20, pp.191-210, 1986.

[13] Zadeh, L., “Fuzzy Sets”, Inform and Control, 8, pp.338-353, 1965.

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Abobala, Mohammad, Hatip, Ahmad. "AH-Substructures in Strong Refined Neutrosophic Modules." International Journal of Neutrosophic Science, vol. Volume 9, no. Issue 2, 2020, pp. 110-116. DOI: https://doi.org/10.54216/IJNS.090205
Abobala, M., Hatip, A. (2020). AH-Substructures in Strong Refined Neutrosophic Modules. International Journal of Neutrosophic Science, Volume 9(Issue 2), 110-116. DOI: https://doi.org/10.54216/IJNS.090205
Abobala, Mohammad, Hatip, Ahmad. "AH-Substructures in Strong Refined Neutrosophic Modules." International Journal of Neutrosophic Science Volume 9, no. Issue 2 (2020): 110-116. DOI: https://doi.org/10.54216/IJNS.090205
Abobala, M., Hatip, A. (2020) 'AH-Substructures in Strong Refined Neutrosophic Modules', International Journal of Neutrosophic Science, Volume 9(Issue 2), pp. 110-116. DOI: https://doi.org/10.54216/IJNS.090205
Abobala M, Hatip A. AH-Substructures in Strong Refined Neutrosophic Modules. International Journal of Neutrosophic Science. 2020;Volume 9(Issue 2):110-116. DOI: https://doi.org/10.54216/IJNS.090205
M. Abobala, A. Hatip, "AH-Substructures in Strong Refined Neutrosophic Modules," International Journal of Neutrosophic Science, vol. Volume 9, no. Issue 2, pp. 110-116, 2020. DOI: https://doi.org/10.54216/IJNS.090205
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