OPC lattices and congruence heredity

被引：2

作者：

Snow, John W. ^{[1
]}

机构：

[1] Sam Houston State Univ, Dept Math & Stat, Huntsville, TX 77341 USA

来源：

ALGEBRA UNIVERSALIS | 2008年 / 58卷 / 01期

关键词：

congruence lattice; primitive positive formula; hereditary congruence lattice; order polynomially complete lattice;

D O I：

10.1007/s00012-008-2039-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if A is a finite algebra which satisfies a nontrivial idempotent Mal'cev condition, and if ConA contains a copy of an order polynomially complete lattice other than 2, M-3, or Con(Z(2)(3)), then ConA is not hereditary.

引用

页码：59 / 71

页数：13

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