| 格的内蕴拓扑与完全分配律 |
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| 引用本文： | 徐罗山.格的内蕴拓扑与完全分配律[J].数学学报,1996,39(2):219-225. |
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| 作者姓名： | 徐罗山 |
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| 作者单位： | 扬州师范学院数学系 |
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| 摘 要： | 本文以Ｓｃｏｔｔ拓扑，Ｚａｒｉｓｋｉ拓扑，区间拓朴等刻划了完全分配律；获得了格的特殊元的存在性与区间拓扑连通性等之间的众多制约关系，给出了若干应用实例和重要反例．
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| 关 键 词： | 内蕴拓扑，完全分配律，连通性，极小集 |
| 收稿时间： | 1993-7-5 |
| 修稿时间： | 1994-9-5 |
Intrinsic Topologies and the Completely Distributive Law in Lattices |
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| Xu Luoshan.Intrinsic Topologies and the Completely Distributive Law in Lattices[J].Acta Mathematica Sinica,1996,39(2):219-225. |
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| Authors: | Xu Luoshan |
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| Institution: | Xu Luoshan(Mathematics Department of Yangzhou Teachers College, Yangzhou 225002, China) |
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| Abstract: | In this paper, we characterise the completely distributive law in lattices with the Scott topology, the Zariski topology and the interval topology. We give some each-other-conditioned relations of existness of special elements and connectedness of the interval topology in a lattice.We also construct some important counterexamples. |
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| Keywords: | intrinsic topologies completely distributive law connectedness minimal sets |
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