| 可换偏序半群的有限全序扩张 |
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| 引用本文： | 邵海琴,Shao Hongzhi.可换偏序半群的有限全序扩张[J].天水师范学院学报,2007,27(2):13-15. |
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| 作者姓名： | 邵海琴 Shao Hongzhi |
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| 作者单位： | 天水师范学院,数理与信息科学学院,甘肃,天水,741001 |
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| 摘 要： | 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。最后,还给出了S的满足一定条件的有限子集在≤*下成链的充要条件。
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| 关 键 词： | 偏序半群 半拟序 半拟链 偏序扩张 有限全序扩张 |
| 文章编号： | 1371-1351(2007)02-0013-03 |
| 修稿时间： | 2006年11月10 |
On Extensions of Finitely Totally Order of Commutative Partially Ordered Semigroups |
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| Shao Haiqin,Shao Hongzhi.On Extensions of Finitely Totally Order of Commutative Partially Ordered Semigroups[J].Journal of Tianshui Normal University,2007,27(2):13-15. |
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| Authors: | Shao Haiqin Shao Hongzhi |
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| Abstract: | Let be partially ordered semigroups.In this parper,Firstly,the concepts of semi-pseudoorder and semi-pseudochain mod on the partially ordered semigroup S is introduced.Secondly,a sufficient conditions for extending a partial order of S to another partial order by semi-pseudochain is given.Finally,a sufficient and necessary condition for extending a partial order of S to another partial order suth that some finite subsets satisfying some conditions of S form a chain. |
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| Keywords: | partially ordered semigroups semi-pseudoorder semi-pseudochain partially order extension finitely totally ordered extension |
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