Research article

On C-ideals and the basis of an ordered semigroup

  • Received: 26 February 2020 Accepted: 17 April 2020 Published: 21 April 2020
  • MSC : 06F05, 20M12

  • 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.

    Citation: Ze Gu, Xiang-Yun Xie, Jian Tang. On C-ideals and the basis of an ordered semigroup[J]. AIMS Mathematics, 2020, 5(4): 3783-3790. doi: 10.3934/math.2020245

    Related Papers:

  • 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.


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