Self-rectangulating varieties of type 5
Rings and Algebras
2009-09-25 v1
Abstract
We show that a locally finite variety which omits abelian types is self-regulating if and only if it has a compatible semilattice term operation. Such varieties must have a type-set {5}. These varieties are residually small and, when they are finitely generated, they have definable principal congruences. We show that idempotent varieties with a compatible semilattice term operation have the congruence extension property.
Keywords
Cite
@article{arxiv.math/9607229,
title = {Self-rectangulating varieties of type 5},
author = {Keith A. Kearnes and Ågnes Szendrei},
journal= {arXiv preprint arXiv:math/9607229},
year = {2009}
}