A STUDY ON PSEUDOORDERS IN ORDERED ∗-SEMIHYPERGROUPS

Authors

  • Xinyang Feng Lanzhou University - School of Mathematics and Statistics
  • Jian Tang Fuyang Normal University - School of Mathematics and Statistics
  • Yanfeng Luo Lanzhou University - School of Mathematics and Statistics

Keywords:

ordered ∗-semihypergroup, pseudoorder, strongly regular equivalence relation, homomorphism, direct product

Abstract

In this paper, we study the pseudoorders on ordered ∗-semihypergroups in detail.  To begin with, we introduce the concept of pseudoorders on an ordered ∗-semihypergroup, and investigate its related properties.  Furthermore, the relationship between strongly regular equivalence relations and pseudoorders on an ordered ∗-semihypergroup is established, and some homomorphism theorems of ordered ∗-semihypergroups by pseudoorders are given.  Finally, we investigate the direct product of ordered ∗-semihypergroups, and study the pseudoorders on direct product of ordered ∗-semihypergroups.

Cover of n°39 Italian Journal of Pure and Applied Mathematics

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Published

2018-02-28

How to Cite

Feng, X., Tang, J., & Luo, Y. (2018). A STUDY ON PSEUDOORDERS IN ORDERED ∗-SEMIHYPERGROUPS. Italian Journal of Pure and Applied Mathematics, 39, 178–193. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6938

Issue

N°39 - February 2018

Section

Articoli - Forum Editrice

License

Copyright (c) 2018 Xinyang Feng, Jian Tang, Yanfeng Luo

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)

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