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Research Article | Open Access

Semilattice relations on a semihypergroup

Ze Gu( )
School of Mathematics and Statistics, Zhaoqing University, Zhaoqing, Guangdong, China
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Abstract

In this paper, we give a unified method for constructing commutative relations, band relations and semilattice relations on a semihypergroup. Moreover, we show that the set of all commutative relations, the set of all band relations and the set of all semilattice relations on a semihypergroup are complete lattices.

Keywords

semihypergroupcommutative relationband relationsemilattice relationcomplete lattice
CLC number: 06B23, 20M10, 20N20

References

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 14842-14849
DOI: 10.3934/math.2023758

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Cite this article:
Gu Z. Semilattice relations on a semihypergroup. AIMS Mathematics, 2023, 8(6): 14842-14849. https://doi.org/10.3934/math.2023758

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Received: 22 February 2023
Revised: 12 April 2023
Accepted: 14 April 2023
Published: 15 June 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)