On torsion classes of lattcie-ordered groups

被引：1

作者：

Chen, YQ ^{[1
]}

Conrad, P

机构：

[1] Cent Connecticut State Univ, Dept Math Sci, New Britain, CT 06050 USA

[2] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2000年 / 28卷 / 01期

关键词：

D O I：

10.1080/00927870008826830

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study lattice-ordered groups whose set of branch points in the root system of regular subgroups satisfies descending chain condition. We show that these lattice-ordered groups form a torsion class (D) over bar. We also show that the class of finite-valued lattice-ordered groups that are also in (D) over bar is closed with respect to lattice-ordered subgroups, and such class has a unique archimedean closure.

引用

页码：93 / 102

页数：10

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