390 205
Full Length Article
Volume 7 , Issue 2, PP: 74-78 , 2020


Classical Homomorphisms Between n-Refined Neutrosophic Rings

Authors Names :   Mohammad Abobala   1 *  

1  Affiliation :  Faculty of Science, Tishreen University,Lattakia, Syria

    Email :  mohammadabobala777@gmail.com

Doi   :  10.5281/zenodo.3879508

Abstract :

This paper studies classical homomorphisms between n-refined neutrosophic ring and m-refined neutrosophic ring. It proves that every m-refined neutrosophic ring  is a homomorphic image of n-refined neutrosophic ring , where . Also, it presents a discussion of kernels and some corresponding isomorphisms between those rings.

Keywords :

n-Refined neutrosophic ring , Ring homomorphism , Ring extension

References :

[1]Abobala, M., "On Some Special Substructures of Neutrosophic Rings and Their Properties", International Journal of Neutrosophic Science", Vol.4 , pp.72-81, 2020.

[2]Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings", International Journal of     Neutrosophic Science, Vol. 5, pp.59-66, 2020.

[3]Abobala, M., "Classical HomomorphismsBetween Refined Neutrosophic Rings and Neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 5, pp.72-75, 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]Kandasamy, V.W.B., and Smarandache, F., "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.

[6]Smarandache, F., and Abobala, M., "n-Refined Neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 6, pp.83-90 , 2020.

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

[8].Smarandache, F., "n-Valued Refined Neutrosophic Logic and Its Applications in Physics", Progress in Physics, Vol. 4, pp.143-146, 2013.