All congruence lattice identities implying modularity have Mal'tsev conditions

被引：6

作者：

Czédli, G ^{[1
]}

Horváth, EK ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

来源：

ALGEBRA UNIVERSALIS | 2003年 / 50卷 / 01期

基金：

匈牙利科学研究基金会;

关键词：

congruence modularity; congruence identity; Mal'tsev condition; congruence lattice;

D O I：

10.1007/s00012-003-1818-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an arbitrary lattice identity implying modularity (or at least congruence modularity) a Mal'tsev condition is given such that the identity holds in congruence lattices of algebras of a variety if and only if the variety satisfies the corresponding Mal'tsev condition.

引用

页码：69 / 74

页数：6

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