On Comultisets and Factor Multigroups

Abstract

In this paper, we vividly study the concept of comultisets of a multigroup and obtain some related results. The
notion of Lagrange theorem in multigroup setting is proposed. Also, this paper proposes the notion of factor multigroups
as an extension of factor groups in classical group setting and deduces some results. Subsequently, some
homomorphic properties of factor multigroups are presented.