Lattice varieties with non-elementary amalgamation classes

被引：1

作者：

Ouwehand, P ^{[1
]}

Rose, H ^{[1
]}

机构：

[1] Univ Cape Town, Dept Math, ZA-7700 Rondebosch, South Africa

来源：

ALGEBRA UNIVERSALIS | 1999年 / 41卷 / 04期

关键词：

D O I：

10.1007/s000120050117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper it is shown that under certain general conditions, if the amalgamation class of a lattice variety contains a member which does not have a 2-congruence, then the amalgamation class is not closed under ultrapowers or direct products. In particular, the amalgamation class is not first order axiomatizable.

引用

页码：317 / 336

页数：20

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