Menger hypercompositional algebras represented by medial n-ary hyperoperations
Thodsaporn Kumduang · Quasigroups and Related Systems · 2023
The necessary and sufficient conditions under which a Menger algebra can be isomorphically represented by medial n-ary operations are proposed. Since a Menger hypercompositional algebra can be regarded as a generalization of a Menger algebra, for this reason, the situation for medial hyperoperations is further examined and a representation theorem of Menger hypercompositional algebras by such concepts is proved.