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Z-连续Domain关于Z-子空间的遗传性
引用本文:饶三平,许广红. Z-连续Domain关于Z-子空间的遗传性[J]. 江西师范大学学报(自然科学版), 2010, 34(2)
作者姓名:饶三平  许广红
作者单位:1. 南昌工程学院理学系,江西,南昌,330099
2. 南昌航空大学信息与计算科学学院,江西,南昌,330063
摘    要:利用Z-Domain中的Z-子空间的概念,得出Z-Scott开集和Z-Scott闭集都是Z-子空间结论.利用Z-连续子空间、Z-代数子空间的定义,得出Z-连续Domain、Z-代数Domain关于闭Z-子空间遗传这一结论.

关 键 词:Z-连续Domain  Z-代数Domain  Z-子空间

Heredity of Z-Continuous Domains on Z-Subspaces
RAO San-ping,XU Guang-hong. Heredity of Z-Continuous Domains on Z-Subspaces[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2010, 34(2)
Authors:RAO San-ping  XU Guang-hong
Affiliation:RAO San-ping1,XU Guang-hong2(1.Department of Science,Nanchang Institute of Technology,Nanchang Jiangxi 330099,China,2.College of Information and Computational Science,Nanchang Hangkong University,Nanchang Jiangxi 330063,China)
Abstract:By the definition of Z-subspace of Z-Domain,it is proved that both Z-Scott open sets and Z-Scott closed sets are Z-subspaces.It is also reached by the definition of Z-continouos subspace and Z-algebraic subspace that Z-continouos domains and Z-algebraic domains are hereditary for closed Z-subspaces.
Keywords:Z-continuous Domain  Z-algebraic Domain  Z-subspace of Domain  
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