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.
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页码：317 / 336
页数：20
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