| 分配格的滤子格是空间式Frame的新证明 |
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| 引用本文： | 路玲霞,姚卫.分配格的滤子格是空间式Frame的新证明[J].模糊系统与数学,2007,21(4):43-46. |
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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,北京,100083 |
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| 摘 要： | 在分配格中引入了次极大滤子的概念,并以此给出了分配格的滤子格是空间式frame的一种新证明,然后研究了次极大滤子在Heyting代数中的一些具体性质。
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| 关 键 词： | 分配格 滤子 次极大滤子 frame 空间式frame |
| 文章编号： | 1001-7402（2007）04-0043-04 |
| 收稿时间： | 2006-02-20 |
| 修稿时间： | 2006-02-202006-03-24 |
A New Proof for the Filter-lattice of a Distributive Lattice to Be a Spatial Frame |
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| LU Ling-xia,YAO Wei.A New Proof for the Filter-lattice of a Distributive Lattice to Be a Spatial Frame[J].Fuzzy Systems and Mathematics,2007,21(4):43-46. |
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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. Department of Mathematics,Beijing Institute of Technology,Beijing 100083,China |
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| Abstract: | In this paper,the concept of submaximal filters in distributive lattices is introduced.Then we prove that the lattice of all filters in distributive lattices is a spatial frame be means of submaximal filters.At last some special properties of submaximal filters in Heyting algebras are studied. |
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| Keywords: | Distributive Lattice Filter Submaximal Filter Frame Spatial Frame |
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