1) po-group
半序群
1.
a po-group,which is an ordered-group iff g∈G,g and comparable with 0.
半序群（Ｇ，＋，０，≤）是全序群的充要条件是ｇ∈Ｇ，ｇ，０可比，２。
2) ordered semigroup
序半群
1.
A Characterization of Prime Fuzzy Ideals of Ordered Semigroups;
序半群素模糊理想的刻画(英文)
2.
The act of a semigroup is extended into an ordered semigroup, and develop the presentation theorems of ordered semiproups.
将半群在集合上的作用推广到序半群,给出了序半群的表示定理,并且引入同余关系和R-同态概念,刻画了R-偏序集的商和余积。
3.
This paper establishes mainly some discriptions on maximal ideals,prime ideals,archimedean ordered semigroups and u-ordered semigroups in order semigroups.
给出了序半群中有关极大理想、素理想、阿基米德序半群及u-序半群的若干结论,所得结果主要是Satyanarayana M与Bowling G所给结果在序半群中的推广。
3) partially ordered semigroups
偏序半群
1.
Let(S,·,≤)be partially ordered semigroups.
定义了S的半拟序σ及模σ的半拟链,其次,通过模σ的半拟链将S的半拟序σ扩张为S的另一个偏序≤*,使得(S,·,≤*)是偏序半群,并获得了若干理想的结果。
2.
Let be partially ordered semigroups.
设(S,·,≤)是偏序半群,首先定义了S的半拟序σ及模σ的半拟链,其次,通过模σ的半拟链,将S的偏序≤扩张为≤*,并讨论了(S,·,≤*)是偏序半群的充分条件。
4) u-ordered semigroup
u-序半群
1.
This paper establishes mainly some discriptions on maximal ideals,prime ideals,archimedean ordered semigroups and u-ordered semigroups in order semigroups.
给出了序半群中有关极大理想、素理想、阿基米德序半群及u-序半群的若干结论,所得结果主要是Satyanarayana M与Bowling G所给结果在序半群中的推广。
5) ordered semigroups
序半群
1.
The definition of fuzzy bi-ideals in ordered semigroups is introduced and the properties of fuzzy bi-ideals are discussed in the paper,then we characterize the regular and intra-regular ordered semigroups by means of fuzzy bi-ideals.
引入了序半群中的模糊双理想,讨论了序半群模糊双理想的性质,并利用模糊双理想刻画了序半群的正则和内禀正则性。
2.
In this paper we study some important properties on structures, ideals, homomorphismsand Ress-quotients of ordered semigroups.
本文讨论了有关序半群的结构、理想、同态以及Ress-商等的一些重要性质。
3.
In this thesis, some important ideals of ordered semigroups have been discussed,at the same time, a few new results have been gained.
本文主要讨论了序半群的几种重要理想,并且得到一些新结论。
6) Ordered semigroup
偏序半群
1.
Ordered semigroups whose proper ideals are archimedean subsemigroups;
真理想为Archimedean子半群的偏序半群
2.
On C-ideals of Ordered Semigroups;
关于偏序半群的C－理想
3.
Concepts of natural ordering semilattices, natural ordering semilattice homomorphic images and principal square radicals on ordered semigroups are introduced.
引进了自然序半格、偏序半群的自然序半格同态象和二次主根基等概念。
补充资料：序群
序群
ordered group
序群〔0川即目g以甲;扣op“加，e““四印担”a] 一个群〔脚up)G，带有序关系簇，使得对任意的“，b，x，y日G，由不等式“簇b可推出xa夕簇xby.若此处的序是全序(相应地，偏序)，则称为全序群(totally order比gro叩)(相应地，偏序群(Pa由al】yordered grouP))· (偏)序群G到序群H内的序同态(order homom.。rphism)是G到H内的同态(ho。犯mo甲比m)中，使得x簇y，x，y〔G，推出x毋毛y沪在H中成立.序同态的核是凸正规子群(见凸子群(co掀x sub-grouP);正规子群(non刀目subgroup)).全序群G关于凸正规子群H的右陪集的集合可以全序化:令H戈(Hy，当且仅当x镬y.若H为全序群G的凸正规子群，则上述序关系使商群G/H成为全序群. 全序群的凸子群系艺(G)具有以下性质:a)艺(G)在包含关系下也是全序的，并且它在交和并的运算下封闭;b)万(G)是外不变的(劝加一in珑币乏田t)，即对任意H〔工(G)和任意x6G，定有x一’Hx任艺(G);e)若A
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