Absolute retracts and essential extensions in congruence modular varieties

被引：1
|
作者：
Ouwehand, Peter [1 ]
机构：
[1] Univ Stellenbosch, Dept Math Sci, ZA-7600 Stellenbosch, South Africa
来源：
ALGEBRA UNIVERSALIS | 2013年 / 69卷 / 03期
关键词：
absolute retracts; essential extensions; congruence modular varieties of universal algebras; CEP; RS; AP;
D O I：
10.1007/s00012-012-0217-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper studies absolute retracts in congruence modular varieties of universal algebras. It is shown that every absolute retract with finite dimensional congruence lattice is a product of subdirectly irreducible algebras. Further, every absolute retract in a residually small variety is the product of an abelian algebra and a centerless algebra.
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页码：201 / 211
页数：11
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