On the archimedean kernels of function rings in pointfree topology

被引：0
|
作者：
Banaschewski, B.
Bhattacharjee, P.
Walters-Wayland, J.
机构：
来源：
TOPOLOGY AND ITS APPLICATIONS | 2016年 / 200卷
关键词：
Frame; Pointfree topology; l-Ring; Archimedean kernel; Continuous real-valued function; Realcomplete;
D O I：
10.1016/j.topol.2015.12.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The article explores for which function rings A on a frame L all the archimedean kernels of A are determined by the frame homomorphisms from L. It turns out that, for suitable A, this property is equivalent to three different conditions concerning the relation between A and RL, the l-ring of all continuous real-valued functions on L. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：44 / 50
页数：7
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