On Comultisets and Factor Multigroups

P.A. Ejegwa, A.M. Ibrahim

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.


Keywords


Comultisets, Multisets, Multigroups, Normal submultigroups, Factor multigroups

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References


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