| 连续格的极小集刻画 |
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| 引用本文： | 路玲霞,姚卫.连续格的极小集刻画[J].苏州科技学院学报(自然科学版),2006,23(4):21-23. |
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| 作者姓名： | 路玲霞 姚卫 |
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| 作者单位： | 1. 石家庄经济学院,数理学院,河北,石家庄,050031
2. 北京理工大学,数学系,北京,100081 |
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| 摘 要： | 仿照完全分配格中的做法,定义了完备格上的定向极小集和连续格上的定向极小映射,从而得到了连续格的定向极小集刻画,并研究了它们的一些性质。
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| 关 键 词： | 双小于 连续格 定向分配律 定向极小集 定向极小映射 |
| 文章编号： | 1672-0687(2006)04-0021-03 |
| 收稿时间： | 2006-05-22 |
| 修稿时间： | 2006年5月22日 |
Characterizations of Continuous Lattices by Directed Minimal Subsets |
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| LU Ling-xia,YAO Wei.Characterizations of Continuous Lattices by Directed Minimal Subsets[J].Journal of University of Science and Technology of Suzhou,2006,23(4):21-23. |
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| Authors: | LU Ling-xia YAO Wei |
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| Institution: | 1.School of Mathematics and Sciences, Shijiazhuang University of Economics, Shijiazhuang 050031 ,China; 2.Dept. of Mathematics, Beijing Institute of Technology, Beijing 100081 ,China |
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| Abstract: | By the theory of completely distributive lattices,directed minimal subsets in complete lattices and directed minimal maps in continuous lattices are defined.Then some equivalent conditions of complete lattices to be continuous lattices are obtained,and some properties of directed minimal subsets are studied. |
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| Keywords: | way-below continuous lattices directed distributive law directed minimal subsets directed minimal maps |
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