Volume 5 , Issue 2 , PP: 83-90, 2020 | Cite this article as | XML | Html | PDF | Full Length Article
Florentin Smarandache 1 * , Mohammad Abobala 2
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.
n-Refined neutrosophic ring, AH-ideal, AHS-ideal, AH-homomorphism, n-Refined neutrosophic polynomial ring.
[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.
