Semihyperlattice regular equivalence relations on ordered semihypergroups

Yize Li; Xinyang Feng; Xing Gao; Jingxiang Wu

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