On n-Refined Neutrosophic Vector Spaces For Some Special Values 3≤ n ≤6

Nabil Khuder Salman^1,*,  Bolívar Villalta Jadan², Marcos Lalama Flores²

¹College Of Pharmacy, AL-Farahidi University, Baghdad, Iraq

²Universidad Regional Autónoma de los Andes (UNIANDES), Ecuador

Emails: nsalman@uoalfarahidi.edu.iq; us.bolivarvillalta@uniandes.edu.ec; u ua.marcoslalama@uniandes.edu.ec

Abstract

This work is dedicated to study some different types of n-refined neutrosophic vector spaces for different values of n between 3 and 6. Where we present some related algebraic concepts such as 3-refined neutrosophic homomorphism, 4-refined neutrosophic homomorphism, 5-refined neutrosophic homomorphism, and 6-refined neutrosophic homomorphism. Also, we provide some theorems to clarify the algebraic behaviour of 3-refined, 4-refined, 5-refined, and 6-refined neutrosophic subspaces.

Keywords: 3-refined neutrosophic vector space; 4-refined neutrosophic vector space; 5-refined neutrosophic vector space; 6-refined neutrosophic vector space; n-refined homomorphism.