| The Existence of the Complete and Completely Distributive Lattices |
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| 作者姓名： | 白瑞浦 |
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| 作者单位： | Department of Mathematics，Hebei University，Baoding，071002 |
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| 摘 要： | ＴｈｅＥｘｉｓｔｅｎｃｅｏｆｔｈｅＣｏｍｐｌｅｔｅａｎｄＣｏｍｐｌｅｔｅｌｙＤｉｓｔｒｉｂｕｔｉｖｅＬａｔｔｉｃｅｓＢａｔＲｕｉｐｕ（白瑞蒲）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｅｂｅｉＵｎｉｖｅｒｓｉｔｙ，Ｂａｏｄｉｎｇ，０７１００...
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| 关 键 词： | 完全分配格 存在性 拓扑格 |
The Existence of the Complete and Completely Distributive Lattices |
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| Bai Ruipu.The Existence of the Complete and Completely Distributive Lattices[J].Chinese Quarterly Journal of Mathematics,1996,11(2):80-81. |
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| Authors: | Bai Ruipu |
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| Abstract: | The existence of some lattices and the lattice having the smallest set of generating elements are important in lattice theory. In this paper by means of the relations of the intrinsic topologies and admissible topology of a lattice,we prove there not exists the in flute complete and completely distributive lattice which has finite dimension.A complete boolean lattice B possesses the smallest set of generating elements iff B is completely distributive. |
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| Keywords: | topological lattice smallest set of generating elements intrinsic topology |
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