TY - JOUR
T1 - On C-Left Hyperideals of Ordered Semihypergroups
AU - Tang , Jian
AU - Xie , Xiangyun
JO - Communications in Mathematical Research 
VL - 3
SP - 223
EP - 237
PY - 2019
DA - 2019/11
SN - 33
DO - http://doi.org/10.13447/j.1674-5647.2017.03.04
UR - https://global-sci.org/intro/article_detail/cmr/13379.html
KW - ordered semihypergroup, C-left hyperideal, maximal left hyperideal,
left base
AB - <p style="text-align: justify;">In this paper, the concept of C-left hyperideals is introduced in ordered
semihypergroups, and several related properties are investigated. In particular, we
discuss the relationships between the greatest left hyperideals and C-left hyperideals
of ordered semihypergroups. Furthermore, we introduce the concept of left bases
of an ordered semihypergroup, and give out the sufficient and necessary conditions
of the existence of the greatest C-left hyperideal of an ordered semihypergroup by
the properties of left bases. The result about C-left ideals in ordered semigroups is
generalized to the ordered semihypergroups.</p>