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| FS-偏序集和连续L-偏序集 | |
| 引用本文： | 徐罗山. FS-偏序集和连续L-偏序集[J]. 模糊系统与数学, 2004, 18(Z1): 124-127 |
| 作者姓名： | 徐罗山 |
| 作者单位： | 扬州大学数学科学学院,江苏,扬州,225002 |
| 基金项目： | 国家自然科学基金，Projection Item of Minstry of Education of Jiangsu |
| 摘 要： | 引入了FS-偏序集和连续L-偏序集概念,探讨了FS-偏序集和连续L-偏序集的性质.主要结果有(1)每一FS-偏序集都是有限上集生成的,因而是Scott紧的;(2)证明了FS-偏序集(连续L-偏序集)的定向完备化是FS-偏序集(连续L-偏序集);(3)一个偏序集是一个FS-Domain当且仅当它为Lawson紧的FS-偏序集;(4)FS-偏序集(连续L-偏序集)去掉部分极大元后还是FS-偏序集(连续L-偏序集). |
| 关 键 词： | FS-偏序集 连续L-偏序集 Lawson拓扑 紧性 FS-domain |
FS-posets and Continuous L-posets |
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| XU Luo-shan. FS-posets and Continuous L-posets[J]. Fuzzy Systems and Mathematics, 2004, 18(Z1): 124-127 | |
| Authors: | XU Luo-shan |
| Abstract: | The new concepts of FS-posets and continuous L-posets are introduced. Properties and examples of FS-posets and continuous L-posets are examined. Main results are: (1) Every FS-poset is finitely upper generated and is Scott compact; (2) The directed completions of FS-posets(continuous L-posets) are FS-posets (continuous L-posets) ; (3) A poset is an FS-domain iff it is a Lawson compact FS-poset. (4) If P is an FS-poset (continuous L-poset) and A Max(P), then P is an FS-poset (continuous L-poset) if it is not empty. |
| Keywords: | FS-poset Continuous L-poset Lawson Topology Compact FS-domain |
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