The Commutative Properties of Multigroup

Abstract

Multigroups is a non - classical algebraic structure which generalize group theory over a multiset which has been explored by many researchers and some results are established which are analogue to classical group theory. The notion of center, centralizer and normalizer in multigroup is studied in this paper to capture the notion of multiset since multigroup is a generalization of group theory and it will enhance further study on multigroup theory. It was established that center and normalizer of multigroup is a normal submultigroups and is the given multigroup if it is commutative.