Decompositions of torsion-free abelian groups

被引：0

作者：

Braun, Gabor ^{[1
]}

Schultz, Phill ^{[2
]}

Struengmann, Lutz ^{[3
]}

机构：

[1] Georgia Inst Technol, ISyE, 755 Ferst Dr NW, Atlanta, GA 30332 USA

[2] Univ Western Australia, Sch Math & Stat, Nedlands, WA 6009, Australia

[3] Univ Appl Sci Mannheim, Fac Comp Sci, D-68163 Mannheim, Germany

来源：

JOURNAL OF ALGEBRA | 2019年 / 528卷

关键词：

Main Decomposition; Clipped groups;

D O I：

10.1016/j.jalgebra.2019.02.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that every torsion-free abelian group of finite rank has a maximal completely decomposable summand that is unique up to isomorphism. We show that groups of infinite rank need not have maximal completely decomposable summands, but when they do, this summand is unique up to isomorphism. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：72 / 84

页数：13

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