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
DOI: https://doi.org/10.34198/ejms.4120.8397
Keywords: multisets, multigroups, anti multigroups

Abstract

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.

Downloads

Download data is not yet available.
Published
2020-04-20
How to Cite
Ejegwa , P. A. (2020). Concept of Anti Multigroups and its Properties. Earthline Journal of Mathematical Sciences, 4(1), 83-97. https://doi.org/10.34198/ejms.4120.8397
Issue
Vol 4 No 1 (2020)
Section
Articles


This work is licensed under a Creative Commons Attribution 4.0 International License.