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相容半连续Domain
引用本文:郭智莲,赵彬.相容半连续Domain[J].模糊系统与数学,2012,26(1):131-136.
作者姓名:郭智莲  赵彬
作者单位:1. 陕西师范大学数学与信息科学学院,陕西西安710062;西北政法大学经济管理学院,陕西西安 710063
2. 陕西师范大学数学与信息科学学院,陕西西安,710062
摘    要:引入了相容半连续Domain、相容强连续Domain的概念,给出了一系列性质,讨论了相容半连续Domain、相容强连续Domain与相容连续Domain间的关系.引入了相容半Scott拓扑,并讨论了其相关性质.

关 键 词:相容半连续Domain  相容强连续Domain  相容素理想  相容半Scott拓扑

Consistently Semicontinuous Domains
GUO Zhi-lian , ZHAO Bin.Consistently Semicontinuous Domains[J].Fuzzy Systems and Mathematics,2012,26(1):131-136.
Authors:GUO Zhi-lian  ZHAO Bin
Affiliation:1(1.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China;2.School of Economics and Management,Northwest University of Politics and Law,Xi’an 710063,China)
Abstract:In this paper,the concepts of consistently semicontinuous domains and consistently strongly continuous domains are introduced,and some properties are given.The relations among consistently semicontinuous domains,consistently strongly continuous domains and consistently continuous domains are discussed.Moreover,the consistently semi-Scott topologies on consistently semicontinuous domains are given,and some related properties are discussed.
Keywords:Consistently Semicontinuous Domains  Consistently Strong Semicontinuous Domains  Semiprime Ideal  Consistently Semi-Scott Topology
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