Year: 2017
Author: Jian Tang, Xiangyun Xie
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.03.04
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 223–237
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: ordered semihypergroup C-left hyperideal maximal left hyperideal left base