Countable Homogeneous Lattices

被引：2

作者：

Abogatma, A. ^{[1
,2
]}

Truss, J. K. ^{[1
]}

机构：

[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Garyounis Benghazi, Dept Math, Benghazi, Libya

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2015年 / 32卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Lattice; Homogeneous; Amalgamation property; AMALGAMATION PROPERTY; COPRODUCTS; VARIETIES;

D O I：

10.1007/s11083-014-9328-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there are uncountably many countable homogeneous lattices. We give a discussion of which such lattices can be modular or distributive. The method applies to show that certain other classes of structures also have uncountably many homogeneous members.

引用

页码：239 / 243

页数：5

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