1Department of MatheDepartment of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Rattanakosin, Nakhon Pathom 73170, Thailand
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 101-111
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Thodsaporn Kumduang; Thodsaporn Kumduang. Representations of Menger hypercompositional algebras by some types of commutative hyperoperations. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 101-111. http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a0/
@article{AMUC_2023_92_2_a0,
author = {Thodsaporn Kumduang and Thodsaporn Kumduang},
title = { Representations of {Menger} hypercompositional algebras by some types of commutative hyperoperations},
journal = {Acta mathematica Universitatis Comenianae},
pages = {101--111},
year = {2023},
volume = {92},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a0/}
}
TY - JOUR
AU - Thodsaporn Kumduang
AU - Thodsaporn Kumduang
TI - Representations of Menger hypercompositional algebras by some types of commutative hyperoperations
JO - Acta mathematica Universitatis Comenianae
PY - 2023
SP - 101
EP - 111
VL - 92
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a0/
ID - AMUC_2023_92_2_a0
ER -
%0 Journal Article
%A Thodsaporn Kumduang
%A Thodsaporn Kumduang
%T Representations of Menger hypercompositional algebras by some types of commutative hyperoperations
%J Acta mathematica Universitatis Comenianae
%D 2023
%P 101-111
%V 92
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a0/
%F AMUC_2023_92_2_a0
We present an abstract characterization of diagonal semihypergroups derived from any Menger hypercompositional algebra. We also prove that the set of all $k$-commutative hyperoperations forms a Menger algebra. The necessary and sufficient conditions under which a Menger hypercompositional algebra of rank $n>1$ is embeddable into an algebra of $k$-commutative hyperoperations are proposed.
