ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

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

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Submit Manuscript send
International Journal of Neutrosophic Science
Full Length Article

Volume 2 • Issue 2 • PP: 89-94 • 2020

Refined Neutrosophic Rings II

E.O. Adeleke 1*
mail
,
A.A.A. Agboola 1
mail
,
F. Smarandache 2
mail
1Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
2Department of Mathematics & Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.020205
format_quote Cite this article
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).

PDF Icon View PDF open_in_new

Abstract

This paper is the continuation of the work started in the paper titled “Refined Neutrosophic Rings I”. In the present paper, we study refined neutrosophic ideals and refined neutrosophic homomorphisms along their elementary properties. It is shown that if R = Z(I1, I2) is a refined neutrosophic ring of integers and J = nZ(I1, I2) is a refined neutrosophic ideal of R, then R/J Zn(I1, I2).

Keywords

Neutrosophy refined neutrosophic ring refined neutrosophic ideal refined neutrosophic ring homomorphism

References

[1] Agboola, A.A.A.; Akinola, A.D. ; Oyebola, O.Y. “Neutrosophic Rings I”, Int. J. of Math. Comb., vol 4, pp. 1-14, 2011.

[2] Agboola, A.A.A.; Akwu A.O. ; Oyebo,Y.T “Neutrosophic Groups and Neutrosopic Subgroups”, Int. J. of Math. Comb., vol 3, pp. 1-9, 2012.

[3] Agboola, A.A.A.; Davvaz, B. “On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings”, Neutrosophic Sets and Systems, vol 2, pp. 34-41, 2014.

[4] Agboola, A.A.A.; Adeleke, E.O.; Akinleye, S.A. “Neutrosophic Rings II”, Int. J. of Math. Comb., vol 2, pp. 1-8, 2012.

[5] Agboola, A.A.A. “On Refined Neutrosophic Algebraic Structures”, Neutrosophic Sets and Systems, vol 10, pp. 99-101, 2015.

[6] Agboola,A.A.A,; Davvaz,B.; Smarandache,F. “Neutrosophic Quadruple Hyperstructures”, Annals of Fuzzy Mathematics and Informatics, vol 14 (1), pp. 29-42, 2017.

[7] Akinleye,S.A.; Adeleke,E.O. ; Agboola,A.A.A. “Introduction to Neutrosophic Nearrings”, Annals of Fuzzy Mathematics and Informatics, vol 12 (3), pp. 397-410, 2016.

[8] Akinleye, S.A.; Smarandache,F.; Agboola,A.A.A. “On Neutrosophic Quadruple Algebraic Structures”, Neutrosophic Sets and Systems, vol 12, pp. 122-126, 2016.

[9] Adeleke,E.O; Agboola, A.A.A ; Smarandache, F. “Refined Neutrosophic Rings I”, (Submitted for publi-cation in Neutrosophic Sets and Systems).

[10] Smarandache,F. “ A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set, Neutrosophic Probability”, (3rd edition), American Research Press, Rehoboth,(2003),

http://fs.gallup.unm.edu/eBook-Neutrosophic4.pdf.

[11] Smarandache,F. “n-Valued Refined Neutrosophic Logic and Its Applications in Physics”, Progress in Physics, USA, vol 4 (2013), pp. 143-146, 2013.

[12] Smarandache,F. “(T,I,F)- Neutrosophic Structures”, Neutrosophic Sets and Systems, vol 8 (2015), pp.

3- 10, 2015.

[13] Vasantha Kandasamy,W.B; Smarandache,F. “ Neutrosophic Rings”, Hexis, Phoenix, Arizona,(2006), http://fs.gallup.unm.edu/NeutrosophicRings.pdf

Cite This Article

Choose your preferred format

format_quote
Adeleke, E.O., Agboola, A.A.A., Smarandache, F.. "Refined Neutrosophic Rings II." International Journal of Neutrosophic Science, vol. Volume 2, no. Issue 2, 2020, pp. 89-94. DOI: https://doi.org/10.54216/IJNS.020205
Adeleke, E., Agboola, A., Smarandache, F. (2020). Refined Neutrosophic Rings II. International Journal of Neutrosophic Science, Volume 2(Issue 2), 89-94. DOI: https://doi.org/10.54216/IJNS.020205
Adeleke, E.O., Agboola, A.A.A., Smarandache, F.. "Refined Neutrosophic Rings II." International Journal of Neutrosophic Science Volume 2, no. Issue 2 (2020): 89-94. DOI: https://doi.org/10.54216/IJNS.020205
Adeleke, E., Agboola, A., Smarandache, F. (2020) 'Refined Neutrosophic Rings II', International Journal of Neutrosophic Science, Volume 2(Issue 2), pp. 89-94. DOI: https://doi.org/10.54216/IJNS.020205
Adeleke E, Agboola A, Smarandache F. Refined Neutrosophic Rings II. International Journal of Neutrosophic Science. 2020;Volume 2(Issue 2):89-94. DOI: https://doi.org/10.54216/IJNS.020205
E. Adeleke, A. Agboola, F. Smarandache, "Refined Neutrosophic Rings II," International Journal of Neutrosophic Science, vol. Volume 2, no. Issue 2, pp. 89-94, 2020. DOI: https://doi.org/10.54216/IJNS.020205
policy

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.

Digital Archive Ready