Algebraically closed algebras in certain small congruence distributive varieties

被引：2

作者：

Ouwehand, P. ^{[1
]}

机构：

[1] Univ Stellenbosch, Dept Math Sci, ZA-7600 Stellenbosch, South Africa

来源：

ALGEBRA UNIVERSALIS | 2009年 / 61卷 / 02期

关键词：

Algebraically closed algebras; absolute retracts; amalgamation; congruence distributivity; AMALGAMATION PROPERTY; LATTICE VARIETIES;

D O I：

10.1007/s00012-009-0015-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a finitely generated congruence distributive variety satisfying a weak congruence extension property, the algebraically closed algebras are precisely up-directed unions of maximal subdirectly irreducibles. The class of algebraically closed algebras of such a variety is elementary and definable by Horn sentences.

引用

页码：247 / 260

页数：14

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