| Z—连续偏序集的Z—极小集理论 |
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| 引用本文： | 白仲林.Z—连续偏序集的Z—极小集理论[J].西北师范大学学报,1997,33(2):16-19. |
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| 作者姓名： | 白仲林 |
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| 作者单位： | 西北师范大学数学系 |
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| 摘 要： | 给出了Ｚ－连续偏序集上Ｚ－极小集的概念及其性质和等价刻划，利用Ｚ－极小集的方法阐述了映射的连续性及保Ｚ－Ｂｅｌｏｗ关系和保Ｚ－极小集之间的联系，并证明了完备格是Ｚ－连续格当且仅当每个元都存在Ｚ－极小集
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| 关 键 词： | Z－完备偏序集 Z－连续偏序集 Z－极小集 |
Theories of Z minimal subsets on Z continuous partial order sets |
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| Bai,Zhonglin.Theories of Z minimal subsets on Z continuous partial order sets[J].Journal of Northwest Normal University Natural Science (Bimonthly),1997,33(2):16-19. |
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| Authors: | Bai Zhonglin |
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| Abstract: | The notions of Z minimal subsets on Z continuous partial order sets are defined.The characteristics and properties of Z minimal subsets are investigated.Using the method of the Z minimal subsets,the author explained a few relationships among the continunity of the mapping,preserving the Z below relation and the Z minimal subsets.It is proved that the Z complete lattices are Z continuous if and only if their element exists a Z minimal subset. |
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| Keywords: | Z complete partial order sets Z continunous partial order sets Z minimal subsets |
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