On cyclic multigroup family

Johnson Aderemi Awolola

Abstract


In this paper, the concept of cyclic multigroup is studied from the preliminary knowledge of cyclic group which is a well-known concept in crisp environment. By using cyclic multigroups, we then delineate a cyclic multigroup family and investigate its structural properties. It is observed that the union of class of cyclic multigroups generated by ???? is a cyclic multigroup. However, the intersection is an identity cyclic multigroup. In particular, we obtain a series of class of cyclic multigroups generated by ????.


Keywords


Multiset, multigroup, cyclic multigroup, cyclic multigroup family.

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References


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DOI: http://dx.doi.org/10.23755/rm.v37i0.476

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.