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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

International Journal of Neutrosophic Science
Full Length Article

Volume 7Issue 2PP: 79-86 • 2020

AH-Substructures in Neutrosophic Modules

Mohammad Abobala 1* ,
Riad K. Alhamido 2
1Faculty of Science, Tishreen University, Lattakia, Syria
2Faculty of Science, Alfurat University, Deir Elzor, Syria
* Corresponding Author.
verified

Open Access & Copyright

© 2020 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

This article introduces the concept of AH-submodule, AHS-submodule of a neutrosophic module, and AHS-homomorphism. This work presents some basic notions and properties of these concepts such as AH-Kernel, AH-Quotient, and dimension, and determines the algebraic structure of weak neutrosophic module over a commutative ring R. 

Keywords

Neutrosophic module AH-submodule AHS-submodule AH-Quotient

References

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[3] Abdel-Basset, M., Gunasekaran M., Abduallah G., and Victor C., "A Novel Intelligent Medical Decision Support Model Based on Soft Computing and IoT", IEEE Internet of Things Journal , 2019.

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

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

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

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

[9] Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings I", International Journal of  Neutrosophic Science, Vol. 2 , pp.77-81, 2020.

[10] Agboola, A.A.A., and Akinleye, S.A., "Neutrosophic Vector Spaces", Neutrosophic Sets and Systems, Vol. 4 , pp. 9-17, 2014.

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

[12] Agboola, A.A.A., Akinola, A.D, and Oyebola, O.Y.," NeutrosophicRings I ", International J.Mathcombin, Vol. 4, pp. 1-14, 2011.

[13] Injrou, S., "Linear Algebra 2 ", Tishreen University Press, pp.180-230, 2015.

[14] Kandasamy, V.W.B., and Smarandache, F., "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.

 

[15] Olgan, N., and Khatib, A., "Neutrosophic Modules", Journal of Biostatistic and Biometric Application", Vol. 3, pp.1-16, 2018.

Cite This Article

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Abobala, Mohammad, Alhamido, Riad K.. "AH-Substructures in Neutrosophic Modules." International Journal of Neutrosophic Science, vol. Volume 7, no. Issue 2, 2020, pp. 79-86. DOI: https://doi.org/10.54216/IJNS.070205
Abobala, M., Alhamido, R. (2020). AH-Substructures in Neutrosophic Modules. International Journal of Neutrosophic Science, Volume 7(Issue 2), 79-86. DOI: https://doi.org/10.54216/IJNS.070205
Abobala, Mohammad, Alhamido, Riad K.. "AH-Substructures in Neutrosophic Modules." International Journal of Neutrosophic Science Volume 7, no. Issue 2 (2020): 79-86. DOI: https://doi.org/10.54216/IJNS.070205
Abobala, M., Alhamido, R. (2020) 'AH-Substructures in Neutrosophic Modules', International Journal of Neutrosophic Science, Volume 7(Issue 2), pp. 79-86. DOI: https://doi.org/10.54216/IJNS.070205
Abobala M, Alhamido R. AH-Substructures in Neutrosophic Modules. International Journal of Neutrosophic Science. 2020;Volume 7(Issue 2):79-86. DOI: https://doi.org/10.54216/IJNS.070205
M. Abobala, R. Alhamido, "AH-Substructures in Neutrosophic Modules," International Journal of Neutrosophic Science, vol. Volume 7, no. Issue 2, pp. 79-86, 2020. DOI: https://doi.org/10.54216/IJNS.070205
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