偏序半群的偏序扩张On extensions of partial orders of partially ordered semigroups
邵海琴;薛占军;雷振亚;
摘要(Abstract)：
引入了偏序半群(S,·,≤)上的半拟序σ及模σ半拟链的概念.通过模σ半拟链,将S的偏序≤扩张为≤*,讨论了(S,·,≤*)是偏序半群的充分条件,并获得了若干理想的结果.特别地,得到了SPO(S)到PO(S)的两个半格同态定理.最后,还给出了S的满足某些给定条件的有限子集在≤*下成链的充要条件.
关键词(KeyWords)： 偏序半群;偏序扩张;半拟序;半拟链;有限全序扩张
基金项目(Foundation): 陕西省自然科学基金(2005A15)
作者(Authors): 邵海琴;薛占军;雷振亚;
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