In this paper, the notation of a strongly ordered congruence on an ordered semigroup s is introduced.
设s是有向序半群，本文给出了S上的一类正则同余，称为强序同余的定义及性质。
Finally, we characterize regular duo ordered semigroup s by ordered fuzzy points and fuzzy bi-ideals of s.
最后我们利用序模糊点和模糊双理想对正则舵序半群给出了刻画。
The aim of this paper is to study prime fuzzy I deals of an ordered semigroup s to characterize prime fuzzy ideals of s by fuzzy points and fuzzy left (right) ideals of s.
对序半群s的素模糊理想进行了研究，借助序半群s的模糊点和模糊左(右)理想给出了序半群s的素模糊理想的刻画。
In the paper we introduce the concepts of L-trivial, nil ordered semigroups and give every ordered semigroup is L-trivial if and only if the left divisibility relation is an order.
特别地，我们还讨论了序零半群，给出了这类半群与偏序半群上的左整除关系链的关系。
Some properties of partially ordered semigroup containing the greatest element are discussed, the sufficient and necessary conditions that some subsets of it make up an ideal are given.
讨论了含最大元的偏序半群的若干性质，给出了含最大元的偏序半群中某些子集构成理想的充要条件。
Some properties of partially ordered semigroup containing the greatest element are discussed, the sufficient and necessary conditions that some subsets of it make up an ideal are given.
讨论了含最大元的偏序半群的若干性质，给出了含最大元的偏序半群中某些子集构成理想的充要条件。
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