On C-ideals and the basis of an ordered semigroup

Ze Gu; Xiang-Yun Xie; Jian Tang

doi:10.3934/math.2020245

AIMS Mathematics (May 2020)

On C-ideals and the basis of an ordered semigroup

Ze Gu,
Xiang-Yun Xie,
Jian Tang

Affiliations

Ze Gu: 1 School of Mathematics and Statistics, Zhaoqing University, Zhaoqing, Guangdong, P. R. China
Xiang-Yun Xie: 2 School of Mathematics and Computational Science, Wuyi University, Jiangmen, Guangdong, P. R. China
Jian Tang: 3 School of Mathematics and Statistics, Fuyang Normal University, Fuyang, Anhui, P. R. China

DOI: https://doi.org/10.3934/math.2020245
Journal volume & issue: Vol. 5, no. 4
pp. 3783 – 3790

Abstract

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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 basis in an ordered semigroup.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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Abstract

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