On cut completions of abelian lattice ordered groups

被引：0
|
作者：
Jakubík, J [1 ]
机构：
[1] SAV, Matemat Ustav, Kosice 04001, Slovakia
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2000年 / 50卷 / 03期
关键词：
abelian lattice ordered group; disjoint subset; cut completion; Dedekind completion;
D O I：
10.1023/A:1022841828655
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We denote by F-a the class of all abelian lattice ordered groups H such that each disjoint subset of H is finite. In this paper we prove that if G is an element of F-a, then the cut completion of G coincides with the Dedekind completion of G.
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页码：587 / 602
页数：16
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