1) Negatively partially ordered semigroups
负偏序群
2) ideal of nega-semigroups
负偏序半群
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) quasi-partial ordered group
拟偏序群
1.
Let (G, G_+) be a quasi-partial ordered group such that G_+~0 = G+ ∩G_+~(-1) is a non-trivial subgroup of G.
设G为一个离散群,(G,G_+)为一个拟偏序群使得G_+~0=G_+∩G_+~(-1)为G的非平凡子群。
2.
We construct ordered or quasily ordered groups, partial or quasi-partial ordered groups, and quasi-lattice ordered groups by choosing certain 2 by 2 upper triangular matrices.
利用二阶上三角矩阵分别构造了非交换的序群、拟序群、拟偏序群和拟格序群。
5) partially ordered groups
偏序群
1.
An interesting result is presented as such statements: For a group (G,·), a kind of correspondence can be established between the set of all of the partial orderings (quasi-orderings) which makes the (G,·) be partially ordered groups (or quasi-ordered groups) and the set of all of the quasi-quotient groups on G which is isomorphic to G (or subgroups of G).
通过偏序诱导集的概念 ,建立了一个群上的可使该群成为偏序群的全体偏序结构组成的集合与该群上一类特殊广义商群组成的集合之间的一一对应关系 。
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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