Taylor's modularity conjecture holds for linear idempotent varieties

被引：5

作者：

Bentz, Wolfram ^{[1
]}

Sequeira, Luis ^{[1
,2
]}

机构：

[1] Univ Lisbon, Ctr Algebra, P-1649003 Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal

来源：

ALGEBRA UNIVERSALIS | 2014年 / 71卷 / 02期

关键词：

interpretability lattice; congruence modularity; derivative; linear variety; SEPARATION;

D O I：

10.1007/s00012-014-0273-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The "Modularity Conjecture" is the assertion that the join of two nonmodular varieties in the lattice of interpretability types is nonmodular. We establish the veracity of this conjecture for the case of linear idempotent varieties. We also establish analogous results concerning n-permutability for some n, and the satisfaction of nontrivial congruence identities.

引用

页码：101 / 107

页数：7