Fundamental group and complete parts of Neutrosophic Quadruple Hv -groups

Abstract

It is well known that Hv-groups and groups are connected through regular relations. The purpose of this paper is to nd a similar connection between neutrosophic Hv-groups and neutrosophic groups by using the concept of fundamental relations on Hv-groups. First, we characterize the complete parts of neutrosophic Hv-groups. Then we study their (strongly) regular relations. Finally, we nd their fundamental group.

Keywords: Neutrosophic quadruple number; Neutrosophic quadruple Hv-group; Fundamental group; Complete part.