Volume 33, Issue 3
On C-Left Hyperideals of Ordered Semihypergroups

Commun. Math. Res., 33 (2017), pp. 223-237.

Published online: 2019-11

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• Abstract

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.

• Keywords

ordered semihypergroup, C-left hyperideal, maximal left hyperideal, left base

20N20, 06F05

tangjian0901@126.com (Jian Tang)

xyxie@wyu.edu.cn (Xiangyun Xie)

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@Article{CMR-33-223, author = {Tang , Jian and Xie , Xiangyun}, title = {On C-Left Hyperideals of Ordered Semihypergroups}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {3}, pages = {223--237}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.03.04}, url = {http://global-sci.org/intro/article_detail/cmr/13379.html} }
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 -

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.

Jian Tang & Xiangyun Xie. (2019). On C-Left Hyperideals of Ordered Semihypergroups. Communications in Mathematical Research . 33 (3). 223-237. doi:10.13447/j.1674-5647.2017.03.04
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