阿基米德l-群的几个定理

Some theorems of Archimedean lattice groups

首先给出阿基米德ｌ群的几个基本概念及引理，然后讨论了它的有关性质。特别是定理 ４ 导出全序阿氏ｌ群与实数的戴得金分划间的关系。对研究ｌ群的结构有其理论价值。

This paper firstly gives some ideas and lemmas about Archimedean l groups,then discusses some properties about it.Especially, theorem 4 describes the relation between the totaly Archimedean l groups and Dedekind cut of real numbers.This paper is valuable for study of the structure of l groups.