Volume 4 • Issue 2 • PP: 72-81 • 2020
On Some Special Substructures of Neutrosophic Rings and Their Properties
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
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
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.