1) ordered group
序群
1.
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。
2) lattice ordered groups
格序群
1.
A critical connection between torsion and semi simple classes of lattice ordered groups, viz Galois connection is developed and, using it, the existence of polar torsion class is studied and one of its expressions is given as well, so that the elemental theorems of torsion class of lattice ordered groups are extended.
建立了格序群扭类与半单类之间的一种重要联系Galois联络 ,利用这种联系研究了极扭类的存在性并且给出了极扭类的一种表示 ,推广了格序群扭类的基本定理 。
3) 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。
4) 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。
5) ordered-group
全序群
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。
6) preorder group
先序群
1.
This paper presents an necessary and sufficient condition for subsemigroup to be cone ofL－group，and discusses the problem of extension on preorder groups.
得到了子半群是Ｌ－群的正锥的一个充要条件，并讨论了先序群的扩展问题。
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
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条