Kaplansky's "infinite abelian groups" and its two test problems

被引：0

作者：

Keef, Patrick W. ^{[1
]}

Shaw, Alexander F. ^{[1
]}

机构：

[1] Whitman Coll, Dept Math, Washington, DC 99362 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 04期

关键词：

Direct sums of cyclics; isometries; Kaplansky test problems; projectives; valuations; MODULES;

D O I：

10.1080/00927872.2019.1705472

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Kaplansky's Infinite Abelian Groups, originally published in 1954, has recently been republished. In recognition of its continuing significance after 65 years, the authors illustrate some important ideas and techniques described in the book. In particular, a class of groups is defined for which there are affirmative answers to the author's two famous "Test Problems."

引用

页码：1758 / 1769

页数：12

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