Year: 2019
Author: Jian Tang, Xiangyun Xie
Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 115–128
Abstract
In this paper, we first consider the regular and strongly regular relations on ordered semihypergroups in detail. In particular, we introduce the concepts of the hypersemilattice strongly regular relations and complete hypersemilattice strongly regular relations on ordered semihypergroups, and investigate their related properties. Furthermore, the properties of hyperfilters of an ordered semihypergroup are studied, and several related applications are given. Especially, we prove that the equivalence relation ${\cal N}$ on an ordered semihypergroup $S$ is the least complete hypersemilattice strongly regular relation on $S$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.02.03
Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 115–128
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: ordered semihypergroup strongly regular relation hyperfilter