| Priestley Spaces, Quasi-hyperalgebraic Lattices and Smyth Powerdomains |
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| 作者姓名： | Jin Bo YANG Mao Kang LUO |
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| 作者单位： | [1]Institute of Mathematics, Sichuan University, Chengdu 610064, P. R. China [2]Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P, R. China |
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| 基金项目： | Supported by NSFC（10331010） and Research Fund for the Doctoral Program of Higher Education,Acknowledgements We would like to thank the referee for the numerous and helpful suggestions that have improved the presentation of our results. |
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| 摘 要： |
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| 关 键 词： | Priestley空间 准超代数晶格 超连续晶格 Smyth动力域 拓扑空间 |
| 收稿时间： | 2004-04-15 |
| 修稿时间： | 2004-04-152005-12-22 |
Priestley Spaces, Quasi–hyperalgebraic Lattices and Smyth Powerdomains |
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| Jin Bo YANG Mao Kang LUO.Priestley Spaces, Quasi-hyperalgebraic Lattices and Smyth Powerdomains[J].Acta Mathematica Sinica,2006,22(3):951-958. |
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| Authors: | Jin Bo Yang Mao Kang Luo |
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| Institution: | (1) Institute of Mathematics, Sichuan University, Chengdu 610064, P. R. China;(2) Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China |
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| Abstract: | We introduce the concept of quasi-hyperalgebraic lattice and prove that a complete lattice is a Priestley space with respect to the interval topology if and only if it is quasi-hyperalgebraic. Some characterizations of quasi-hyperalgebraic lattices are presented. We also prove that the Smyth powerdomain of a quasi-hyperalgebraic lattice is hyperalgebraic. |
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| Keywords: | Priestley space quasi-hyperalgebraic lattice hypercontinuous lattice hyperalgebraic lattice Smyth powerdomain |
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