拟紧元和连续格

数学物理学报

拟紧元和连续格

李庆国; 李纪波

(湖南大学数学与计量经济学院长沙 410082)

收稿日期:2007-04-30 修回日期:2008-07-10 出版日期:2008-12-25 发布日期:2008-12-25
通讯作者: 李庆国
基金资助:
国家自然科学基金(10471035)和教育部博士点基金(2004194)资助

Quasi-compact Elements and Continuous Lattices

Li Qingguo; Li Jibo

(College of Mathematics and Econometrics, Hunan University, Changsha 410082)

Received:2007-04-30 Revised:2008-07-10 Online:2008-12-25 Published:2008-12-25
Contact: Li Qingguo

摘要/Abstract

摘要： 在连续格中, 引入了拟紧元和拟基的概念, 在研究了它们的基本性质的基础上, 给出了连续格的一种表示定理.

关键词: 拟紧元, 拟基, 代数格, 算术格, 完备∪- 半环

Abstract: The concept of quasi-compact elements in continuous lattices is introduced. After introducing a quasi-base and investigating characterizations of quasi-bases of continuous lattices, a representation for continuous lattices is
formulated by certain family of subsets of a given set.

Key words: Quasi-compact elements, Quasi-bases, Algebraic lattices, Arithmetic lattices, Complete ∪-semirings

中图分类号:

06A06

李庆国; 李纪波. 拟紧元和连续格[J]. 数学物理学报, 2008, 28(6): 1251-1255.

Li Qingguo; Li Jibo. Quasi-compact Elements and Continuous Lattices[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1251-1255.