A Diagram of Galois Connections of Functorial Topologies

被引：0
|
作者：
Gabriele Castellini
Stan Dziobiak
机构：
[1] University of Puerto Rico,Department of Mathematical Sciences
[2] Mayagüez campus,undefined
来源：
Applied Categorical Structures | 2016年 / 24卷
关键词：
Topological group; Discrete topology; Indiscrete topology; Functorial topology; Constant morphism; Torsion theory; Radical; Galois connection; 22A05; 20K45; 06A15; 18E40; 13D30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A Galois connection between functorial topologies on abelian groups and subclasses of abelian groups is constructed by means of the notion of indiscrete topology. It is shown that the composition of this Galois connection with a previously introduced one coincides with the classical Galois connection induced by the notion of constant morphism. Examples are provided.
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页码：755 / 764
页数：9
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