SOME ELEMENTARY PROPERTIES OF NEUTROSOPHIC INTEGERS

Abstract

 In this paper, we firstly defined a relation in the set of neutrosophic integers Z[I] and
proved that this relation is an equivalence relation. Thus we obtained a partition of Z[I] .Secondly we investigated the ordering relation in Z[I] and we have seen that Z[I]is not a totally ordered set. We also gave some relations of positive and negative neutrosophic integers and ordering inZ[I] . In the last part of the paper, we introduced the factorial of a positive neutrosophic integer.