DENSE PURE SUBGROUPS OF LOCALLY COMPACT-GROUPS

被引：1

作者：

KABENYUK, MI

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 117卷 / 02期

关键词：

LOCALLY COMPACT ABELIAN GROUPS; PURE SUBGROUPS; NONCLOSED SUBGROUPS; DENSE SUBGROUPS; DENSE DIRECT SUMMANDS;

D O I：

10.2307/2159193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a locally compact abelian (LCA) group has no proper dense pure subgroups if and only if it does not have proper dense subgroups. This solves a problem of Armacost.

引用

页码：537 / 539

页数：3

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