A Characterization of Neutrosophic Hom-Group

Abstract

Hom-groups are non-associative kinds of special and essential algebraic forms of some group structures. In actual fact, they represent the generalizations of some kinds of groups. These groups have a kind of characteristic features as well as special properties in which their associativity, as well as the unitality features, seem to be twisted, and this is just by a form of compatible bijective map. In this work, efforts are intensified to introduce neutrosophy into concepts of Hom – group. Furthermore, the basic properties involving the neutrosophic hom-groups and their subgroups with relevant examples are treated. This has been extended to some of the characterizations involving the neutrosophic Hom– groups. The hom-group can sometimes play special roles in the fields of physics, chemistry, and engineering as well as some other aspects of general physical sciences as required.