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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

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.

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.

Cite This Article

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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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