n- Refined Neutrosophic Rings

Florentin; Mohammad

doi:https://doi.org/10.54216/IJNS.050204

Full Length Article

Volume 5 • Issue 2 • PP: 83-90 • 2020

n- Refined Neutrosophic Rings

Florentin Smarandache ^1*

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,

Mohammad Abobala ²

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¹Department of mathematics and science, University of New mexico, Gallup, NM 87301, USA

²Faculty of science, Tishreen University, Lattakia, Syria

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.050204

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Abstract

The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, wepresent concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.

Keywords

n-Refined neutrosophic ring AH-ideal AHS-ideal AH-homomorphism n-Refined neutrosophic polynomial ring.

References

[1] Abobala, M., "On Some Special Substructures of Neutrosophic Rings and Their Properties", International Journal of Neutrosophic Science", Vol 4 , pp72-81, 2020.

[2]Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings", International Journal of Neutrosophic Science, Vol 5, pp59-66, 2020.

[3]Abobala, M,. "Classical Homomorphisms Between Refined Neutrosophic Rings and Neutrosophic Rings", International Journal of Neutrosophic Science, Vol 5, pp72-75, 2020.

[4]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.

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

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

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

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

[9]Smarandache, F., "Symbolic Neutrosophic Theory", EuropaNovaasbl, Bruxelles, 2015.

[10]Florentin Smarandache, “n-Valued Refined Neutrosophic Logic and Its Applications in Physics”, Progress in Physics, 143-146, Vol. 4, 2013.

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Smarandache, Florentin, Abobala, Mohammad. "n- Refined Neutrosophic Rings." International Journal of Neutrosophic Science, vol. Volume 5, no. Issue 2, 2020, pp. 83-90. DOI: https://doi.org/10.54216/IJNS.050204

Smarandache, F., Abobala, M. (2020). n- Refined Neutrosophic Rings. International Journal of Neutrosophic Science, Volume 5(Issue 2), 83-90. DOI: https://doi.org/10.54216/IJNS.050204

Smarandache, Florentin, Abobala, Mohammad. "n- Refined Neutrosophic Rings." International Journal of Neutrosophic Science Volume 5, no. Issue 2 (2020): 83-90. DOI: https://doi.org/10.54216/IJNS.050204

Smarandache, F., Abobala, M. (2020) 'n- Refined Neutrosophic Rings', International Journal of Neutrosophic Science, Volume 5(Issue 2), pp. 83-90. DOI: https://doi.org/10.54216/IJNS.050204

Smarandache F, Abobala M. n- Refined Neutrosophic Rings. International Journal of Neutrosophic Science. 2020;Volume 5(Issue 2):83-90. DOI: https://doi.org/10.54216/IJNS.050204

F. Smarandache, M. Abobala, "n- Refined Neutrosophic Rings," International Journal of Neutrosophic Science, vol. Volume 5, no. Issue 2, pp. 83-90, 2020. DOI: https://doi.org/10.54216/IJNS.050204

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