| 半连续格的刻画和映射 |
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| 引用本文： | 伍秀华,李庆国. 半连续格的刻画和映射[J]. 数学研究及应用, 2007, 27(3): 654-658 |
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| 作者姓名： | 伍秀华 李庆国 |
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| 作者单位： | 湖南大学数学与计量经济学院,湖南,长沙,410082 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 本文讨论了半连续格的一些性质,在半连续格中引入半Scott开集族,用半Scott开集族来刻画半连续格,同时定义了半连续格之间的半连续映射,得到闭包算子的像仍是半连续格的条件.最后,研究了半连续格上的半连续映射的全体不动点之集的性质。
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| 关 键 词： | 半素理想 半连续格 半连续映射 Galois联络 收缩. |
| 文章编号： | 1000-341X（2007）03-0654-05 |
| 收稿时间： | 2005-05-19 |
| 修稿时间： | 2005-05-19 |
Characterizations and Functions of Semicontinuous Lattices |
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| WU Xiu-hua and LI Qing-guo. Characterizations and Functions of Semicontinuous Lattices[J]. Journal of Mathematical Research with Applications, 2007, 27(3): 654-658 |
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| Authors: | WU Xiu-hua and LI Qing-guo |
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| Affiliation: | College of Mathematics and Econometrics, Hunan University, Changsha 410082, China;College of Mathematics and Econometrics, Hunan University, Changsha 410082, China |
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| Abstract: | In this paper,we mainly discuss some properties of semicontinuous lattices and give the char- acterizations of semicontinuous lattices.We also define functions between two semicontinuous lattices and obtain the conditions under which the image of a closure operator is also semicontinuous.Finally we study the property about fixed points of semicontinuous lattices. |
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| Keywords: | semiprime ideal semicontinuous lattice semicontinuous function Galois connection retract. |
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