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International Journal of Neutrosophic Science

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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 4Issue 2PP: 72-81 • 2020

On Some Special Substructures of Neutrosophic Rings and Their Properties

Mohammad Abobala 1*
1Tishreen University, Faculty of Science, 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

In this paper we introduce the notions of AH-ideal and AHS-ideal as new kinds of neutrosophic substructures defined in a neutrosophic ring. We investigate the properties of these substructures and some related concepts as AH-weak  principal ideal, AH-weak prime ideal and AH-weak maximal ideal.

Keywords

Neutrosophic ring AH-ideal AHS-ideal Neutrosophic substructure AHS-homomorphism.

References

 

[1]       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.

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

[3]       Agboola, A.A.A., Adeleke, E.O., and Akinlye, S.A., "Neutrosophic Rings II ", International J.Math combin, vol(2), pp 1-8, 2012. 

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

[5]       Agboola, A.A.A., and Davvaz, B.," On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings", Neutrosphic Sets and Systems, Vol 2, pp 34-41, 2014.

[6]       Chalapathi, T., Kumar, K., "Neutrosophic Graphs of Finite Groups", Neutrosophic Sets and Systems, vol 15, pp.22-30, 2017.

[7]       Chalabathi, T., and Kumar, K.,"Neutrosophic Units of Neutrosophic Rings and Fields", Neutrosophic Sets and Systems, vol 21, pp 5-9, 2018.

[8]       Haushi, M., "Algebraic Structures 2 ", Tishreen University Press, pp 132-190,2004.

[9]       VasanthaKandasamy W.B and Florentine Smarandache, "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.

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Abobala, Mohammad. "On Some Special Substructures of Neutrosophic Rings and Their Properties." International Journal of Neutrosophic Science, vol. Volume 4, no. Issue 2, 2020, pp. 72-81. DOI: https://doi.org/10.54216/IJNS.040201
Abobala, M. (2020). On Some Special Substructures of Neutrosophic Rings and Their Properties. International Journal of Neutrosophic Science, Volume 4(Issue 2), 72-81. DOI: https://doi.org/10.54216/IJNS.040201
Abobala, Mohammad. "On Some Special Substructures of Neutrosophic Rings and Their Properties." International Journal of Neutrosophic Science Volume 4, no. Issue 2 (2020): 72-81. DOI: https://doi.org/10.54216/IJNS.040201
Abobala, M. (2020) 'On Some Special Substructures of Neutrosophic Rings and Their Properties', International Journal of Neutrosophic Science, Volume 4(Issue 2), pp. 72-81. DOI: https://doi.org/10.54216/IJNS.040201
Abobala M. On Some Special Substructures of Neutrosophic Rings and Their Properties. International Journal of Neutrosophic Science. 2020;Volume 4(Issue 2):72-81. DOI: https://doi.org/10.54216/IJNS.040201
M. Abobala, "On Some Special Substructures of Neutrosophic Rings and Their Properties," International Journal of Neutrosophic Science, vol. Volume 4, no. Issue 2, pp. 72-81, 2020. DOI: https://doi.org/10.54216/IJNS.040201
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