THE ULTRASIMPLICIAL PROPERTY FOR SIMPLE DIMENSION GROUPS WITH UNIQUE STATE, THE IMAGE OF WHICH HAS RANK ONE

被引：0

作者：

Maloney, Gregory R. ^{[1
]}

机构：

[1] Newcastle Univ, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2017年 / 43卷 / 01期

关键词：

Torsion-free abelian group; dimension group; ultrasimplicial;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an ordered group that is a direct sum of a rank-one torsion-free abelian group and a finite-rank torsion-free abelian group, with order structure arising from the natural order on the first summand. A necessary condition and a sufficient condition are given for G to have an ordered-group inductive limit representation using injective maps.

引用

页码：39 / 60

页数：22

共 30 条

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