| 开滤子Domain的分配性 |
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| 引用本文： | 黄方平,梁基华,寇辉.开滤子Domain的分配性[J].四川大学学报(自然科学版),2006,43(5):992-995. |
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| 作者姓名： | 黄方平 梁基华 寇辉 |
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| 作者单位： | 1. 四川大学数学学院,成都,610064;三峡学院计算机科学系,重庆,404000
2. 四川大学数学学院,成都,610064 |
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| 基金项目： | National Science Foundation of China (0020105401084) and the Science and Technology Research Project of Chongqing Educational Committee (KJ061102) |
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| 摘 要： | 滤子和开滤子是研究序结构和拓扑结构的非常有用的工具.作者通过反例说明L即使为完全分配代数格也无法保证OFilit(L)的分配性,并且证明了对于连续分配半格L,其开滤子Domain OFilt(L)为分配格当且仅当L稳定连续.
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| 关 键 词： | 分配半格 开滤子Domain 稳定连续 |
| 文章编号： | 0490-6756（2006）05-0992-04 |
| 收稿时间： | 9/7/2005 12:00:00 AM |
| 修稿时间： | 2005-09-072005-10-21 |
A Note on Distributivity of Open Filter Domains |
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| HUANG Fang-ping,LIANG Ji-hua,KOU Hui.A Note on Distributivity of Open Filter Domains[J].Journal of Sichuan University (Natural Science Edition),2006,43(5):992-995. |
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| Authors: | HUANG Fang-ping LIANG Ji-hua KOU Hui |
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| Institution: | School of Mathematics, Sichuan University, Chengdu 610064, China;Department of Computer Science, Chongqing Three Gorges University Chongqing,404000, China;School of Mathematics, Sichuan University, Chengdu 610064, China;School of Mathematics, Sichuan University, Chengdu 610064, China |
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| Abstract: | Filiters and open filters are useful utilities to explore strctures of domains. In this paper,it is proved that for a continuous distributive semilattice L, OFilt (L) is a distributive lattice iff L is stably continuous. And an example is given to show th |
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| Keywords: | distributive semilattice open filter domains stably continuous |
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