On extensions of bounded subgroups in Abelian groups

被引：0

作者：

Gabriyelyan, S. S. ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, PO 653, Beer Sheva, Israel

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2014年 / 55卷 / 02期

关键词：

Abelian group; bounded group; simple extension;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well-known that every bounded Abelian group is a direct sum of finite cyclic subgroups. We characterize those non-trivial bounded subgroups H of an infinite Abelian group G, for which there is an infinite subgroup G(0) of G containing H such that G(0) has a special decomposition into a direct sum which takes into account the properties of G, and which induces a natural decomposition of H into a direct sum of finite subgroups.

引用

页码：175 / 188

页数：14