Commutativity and Cancellability of Finite Semi-Multigroups

Abstract

In this paper, the concept of Semi-group in multiset context is introduced. The condition for a sub multiset of a semi-multigroup to be a sub semi-multigroup is established and a study of the closure of multiset operationson the class of finite semi-multigroups is carried out.Commutative andcancellative properties of multiset operations on semi-multigroups are studied. We also studiedthe closure of multiset operations on the class of finite commutative and cancellative semi-multigroups.