格序群的l-自由积的表示

REPRESENTATIONS OF l FREE PRODUCTS FOR LATTICE ORDERED GROUPS

本文给出了两个非平凡可数格序群的ｌ－自由积在有理数集Ｑ上的高ｏ－可迁忠实表示。证明了格序群的ｌ－自由积的向量格复盖与格序群的向量格复盖的ｌ－自由积之间的同构关系；格序群与格序群的反向系统的ｌ－自由积的反向极限与反向极限的自由积之间的同构关系。作为应用。

In this paper, we have given the highly o transitive representation of the l free product for two countable l group on Q, proved the isomorphism with the l free products of vector lattice covers of l groups and obtained the functor □ of l free products and the functor lim ← of invese limits to be commutable. As some application we have given the highly ordered transitive representation on Q for the cover of the l free product of two countable l groups and the inverse limit of an inverse system of countable l groups on a lower po set.