On C-ideals and the basis of an ordered semigroup

In this paper, we characterize ordered semigroups containing the greatest ideal and give the conditions of the greatest ideal being a C-ideal in an ordered semigroup. Moreover, we introduce the concept of a basis of an ordered semigroup and study the relationship between the greatest C-ideal and the...

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Bibliographic Details
Main Authors: Ze Gu, Xiang-Yun Xie, Jian Tang
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects: