Concept of Anti Multigroups and its Properties

  • P. A. Ejegwa Department of Mathematics/Statistics/Computer Science, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria
Keywords: multisets, multigroups, anti multigroups


The concept of multigroups is an application of multiset to group theory. Multigroup is an algebraic structure of a multiset whose underlying set is a group. The objective of this paper is to introduce the concept of anti multigroups and deduce some related results. We establish that a multiset defined over a group is a multigroup if and only if its complement is an anti multigroup. Finally, some results that connect cuts of multigroups to anti multigroups are considered.

How to Cite
Ejegwa , P. A. (2020). Concept of Anti Multigroups and its Properties. Earthline Journal of Mathematical Sciences, 4(1), 83-97.