full
search.png

Search

close.png

Cancel

arrow
Volume 35, Issue 2
Hypersemilattice Strongly Regular Relations on Ordered Semihypergroups

Jian Tang & Xiangyun Xie

DOI: 10.13447/j.1674-5647.2019.02.03

Commun. Math. Res., 35 (2019), pp. 115-128.

Published online: 2019-12

Preview Purchase PDF 2560 35057

Cited by

google scholar semantic scholar
Export citation
  • 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 $S$.

  • Keywords

ordered semihypergroup, strongly regular relation, hyperfilter

  • AMS Subject Headings

20N20, 06F05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

tangjian0901@126.com (Jian Tang)

xyxie@wyu.edu.cn (Xiangyun Xie)

  • BibTex
  • RIS
  • TXT
@Article{CMR-35-115, author = {Tang , Jian and Xie , Xiangyun}, title = {Hypersemilattice Strongly Regular Relations on Ordered Semihypergroups}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {2}, pages = {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 $S$.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.02.03}, url = {http://global-sci.org/intro/article_detail/cmr/13482.html} }
TY - JOUR T1 - Hypersemilattice Strongly Regular Relations on Ordered Semihypergroups AU - Tang , Jian AU - Xie , Xiangyun JO - Communications in Mathematical Research VL - 2 SP - 115 EP - 128 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.02.03 UR - https://global-sci.org/intro/article_detail/cmr/13482.html KW - ordered semihypergroup, strongly regular relation, hyperfilter AB -

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 $S$.

Tang , Jian and Xie , Xiangyun. (2019). Hypersemilattice Strongly Regular Relations on Ordered Semihypergroups. Communications in Mathematical Research . 35 (2). 115-128. doi:10.13447/j.1674-5647.2019.02.03
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard