Neutrosophic N -- interior ideals in semigroups.

We define the concepts of neutrosophic N -interior ideal and neutrosophic N -- characteristic interior ideal structures of a semigroup. We infer different types of semigroups using neutrosophic N-interior ideal structures. We also show that the intersection of neutrosophic N-interior ideals and the union of neutrosophic N-interior ideals is also a neutrosophic N-interior ideal. [ABSTRACT FROM AUTHOR]