| 偏序集上Z—态射的刻划 |
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| 引用本文： | 杨金波 艾为鸿. 偏序集上Z—态射的刻划[J]. 江西师范大学学报(自然科学版), 1998, 22(3): 205-207 |
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| 作者姓名： | 杨金波 艾为鸿 |
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| 作者单位： | [1]江西师范大学数学系 [2]抚州师专数学系 |
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| 摘 要： | 该文引入了Ｚ－Ｓｃｏｔｔ连续映射的概念，证明了Ｚ－完备偏序集上的映射为Ｚ－连续映射当且仅当它为Ｚ－Ｓｃｏｔｔ连续映射，并由此得到了偏序集上Ｚ－态射的刻划定理。
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| 关 键 词： | Z－完备偏序集 Z－连续偏序集 Z－态射 |
Characterizations of Z morphisms on Partially Ordered Sets |
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| Abstract: | In this paper,the concept of Z Scott continuous mapping is introduced.we prove that a mapping on Z complete partial order sets is Z continuous if and only if it is Z Scott continous,and we obtain characterize theorems of Z morphisms on the posets(partially ordered sets). |
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| Keywords: | Z complete poset Z continuous poset Z continuous mappings Z morphisms |
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