Menger hypercompositional algebras represented by medial n-ary hyperoperations
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2023-09-30 18:13
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512.573+519.4 (1)
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KUMDUANG, Thodsaporn. Menger hypercompositional algebras represented by medial n-ary hyperoperations. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 2(48), pp. 263-274. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.22
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Quasigroups and Related Systems
Volumul 30, Numărul 2(48) / 2022 / ISSN 1561-2848

Menger hypercompositional algebras represented by medial n-ary hyperoperations

DOI:https://doi.org/10.56415/qrs.v30.22
CZU: 512.573+519.4

Pag. 263-274

Kumduang Thodsaporn
 
Department of Mathematics, Rajamangala University of Technology
 
 
Disponibil în IBN: 7 aprilie 2023


Rezumat

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.