Semihyperlattice regular equivalence relations on ordered semihypergroups

Authors

  • Yize Li Northwest A&F University - College of Science
  • Xinyang Feng Northwest A&F University - College of Science
  • Xing Gao Lanzhou University - School of Mathematics and Statistics
  • Jingxiang Wu Northwest A&F University - College of Science

Keywords:

ordered semihypergroup, semihyperlattice regular equivalence relation, homomorphism, congruence class

Abstract

In this paper, we explore the semihyperlattice regular equivalence relations on ordered semihypergroups. To begin with, we present the specific constructions of semihyperlattice regular equivalence relations. This effort is directed towards ensuring the preservation of the hyperalgebraic structure within the quotient hyperalgebra. Subsequently, we obtain a homomorphism theorem from ordered semihypergroups to ordered semihyperlattices. Finally, we discuss some related properties of congruence classes and principal pseudo-hyperfilters.

Cover of n°53 Italian Journal of Pure and Applied Mathematics

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Published

2025-05-19

How to Cite

Li, Y., Feng, X., Gao, X., & Wu, J. (2025). Semihyperlattice regular equivalence relations on ordered semihypergroups. Italian Journal of Pure and Applied Mathematics, 53, 117–128. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5761

Issue

N°53 - May 2025

Section

Articoli - Forum Editrice

License

Copyright (c) 2025 Yize Li, Xinyang Feng, Xing Gao, Jingxiang Wu

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)