[1]李雨珈,孙向荣*.局部紧正则Locale的紧正则反射[J].江西师范大学学报(自然科学版),2019,(01):28-30.[doi:10.16357/j.cnki.issn1000-5862.2019.01.05]
　LI Yujia,SUN Xiangrong*.The Compact Regular Reflection of Locally Compact Regular Locale[J].Journal of Jiangxi Normal University:Natural Science Edition,2019,(01):28-30.[doi:10.16357/j.cnki.issn1000-5862.2019.01.05]
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局部紧正则Locale的紧正则反射()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2019年01期
页码:
28-30
栏目:
数学与应用数学
出版日期:
2019-02-10

文章信息/Info

Title:
The Compact Regular Reflection of Locally Compact Regular Locale
文章编号:
1000-5862(2019)01-0028-03
作者:
李雨珈; 孙向荣*
南京邮电大学理学院,江苏 南京 210023
Author(s):
LI Yujia; SUN Xiangrong*
School of Science,Nanjing University of Posts and Telecommunications,Nanjing Jiangsu 210023,China
关键词:
局部紧正则locale;  紧正则反射;  局部紧locale
Keywords:
locally compact regular locales;  compact regular reflection;  locally compact locales
分类号:
O 153.1; O 189.1
DOI:
10.16357/j.cnki.issn1000-5862.2019.01.05
文献标志码:
A
摘要:
关于如何给出locale的紧正则反射构造一直是locale理论中最重要研究课题,通过给出补紧元的定义,进而给出局部紧正则locale的紧正则反射的一个构造性描述,并保证了局部紧正则定义在locale上和在拓扑空间上的一致性.同时证明了若A是局部紧locale,则CR(A)(由A的所有理想组成的理想格Idl(A)的子frame)是紧正则locale; 并对于局部紧正则locale A,CR(A)是A的紧正则反射,并给出了具体的反射关系图.
Abstract:
About how to give a construction of the compact regular reflection for locales is the most important issue in Locale theory.By given the definition of the co-compact element,a constructive description of the compact regular reflection for locally compact regular locales will be described,it also ensures that the definition of locally compact regular in the locale and in the topological space is consistent.At the same time,it is proved that if the local A is locally compact,then CR(A)(the sub-frame of the ideal lattice composed of all ideals)is the compact regular locale,and for the locally compact regular A,CR(A) is the compact regular reflections of locale A,the specific reflection relationship is also given.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-05-23
基金项目:国家自然科学基金(10926104)资助项目.
通信作者:孙向荣(1976-),男,江苏南京人,副教授,博士,主要从事格上拓扑学和Locale理论研究.E-mail:sunxr@njupt.edu.cn
更新日期/Last Update: 2019-02-10