1
Tishreen University, Faculty of Science, Syria
(ohammadabobala777@gmail.com)
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.
| Style | # |
|---|---|
| MLA | Mohammad Abobala. "On Some Special Substructures of Neutrosophic Rings and Their Properties." International Journal of Neutrosophic Science, Vol. 4, No. 2, 2020 ,PP. 72-81 (Doi : https://doi.org/10.54216/IJNS.040201) |
| APA | Mohammad Abobala. (2020). On Some Special Substructures of Neutrosophic Rings and Their Properties. Journal of International Journal of Neutrosophic Science, 4 ( 2 ), 72-81 (Doi : https://doi.org/10.54216/IJNS.040201) |
| Chicago | Mohammad Abobala. "On Some Special Substructures of Neutrosophic Rings and Their Properties." Journal of International Journal of Neutrosophic Science, 4 no. 2 (2020): 72-81 (Doi : https://doi.org/10.54216/IJNS.040201) |
| Harvard | Mohammad Abobala. (2020). On Some Special Substructures of Neutrosophic Rings and Their Properties. Journal of International Journal of Neutrosophic Science, 4 ( 2 ), 72-81 (Doi : https://doi.org/10.54216/IJNS.040201) |
| Vancouver | Mohammad Abobala. On Some Special Substructures of Neutrosophic Rings and Their Properties. Journal of International Journal of Neutrosophic Science, (2020); 4 ( 2 ): 72-81 (Doi : https://doi.org/10.54216/IJNS.040201) |
| IEEE | Mohammad Abobala, On Some Special Substructures of Neutrosophic Rings and Their Properties, Journal of International Journal of Neutrosophic Science, Vol. 4 , No. 2 , (2020) : 72-81 (Doi : https://doi.org/10.54216/IJNS.040201) |