406 216
Full Length Article
Volume 5 , Issue 2, PP: 83-90 , 2020

Title

n- Refined Neutrosophic Rings

Authors Names :   Florentin Smarandache   1 *     Mohammad Abobala   2  

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

    Email :  smarand@unm.edu


2  Affiliation :  Faculty of science, Tishreen University, Lattakia, Syria

    Email :  mohammadabobala777@gmail.com



Doi   :  10.5281/zenodo.3828996


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.