Multigroup is a group-like algebraic structure drawn from multiset whose underlying set is a group. The concept of commutators in multigroup context has been hitherto introduced in literature. The purpose of this paper is to further explore the idea of commutators in the light of multigroups. A number of some related results are obtained and characterized. The idea of admissible sub- multigroups A and B of C ∈ MG(X) under an operator domain D is explicated, and it is shown that (A, B) and [A, B] are D-admissible.
Keywords and Phrases
Commutator, Multiset, Multigroup, Submultigroup.
A.M.S. subject classiﬁcation
03E72, 06D72, 11E57, 19A22.