COMPLETELY DECOMPOSABLE DIRECT SUMMANDS OF TORSION-FREE ABELIAN GROUPS OF FINITE RANK

被引：5

作者：

Mader, Adolf ^{[1
]}

Schultz, Phill ^{[2
]}

机构：

[1] Univ Hawaii Manoa, Dept Math, 2565 McCarthy Mall, Honolulu, HI 96922 USA

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 01期

关键词：

Torsion-free abelian group of finite rank; direct decomposition; completely decomposable direct summand;

D O I：

10.1090/proc/13732

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a finite rank torsion-free abelian group. Then there exist direct decompositions A = B circle plus C where B is completely decomposable and C has no rank 1 direct summand. In such a decomposition B is unique up to isomorphism and C is unique up to near-isomorphism.

引用

页码：93 / 96

页数：4

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