Almost all minimal idempotent varieties are congruence modular
type: Item
instance of: scholarly article
title: Almost all minimal idempotent varieties are congruence modular
zbMATH Open document ID: 1014.08009
published in: Algebra Universalis
publication date: 2003-04-23T00:00:00Z
review text: It is shown that the only minimal idempotent varieties that are not congruence modular are the variety of sets and the variety of semilattices. Applying the machinery of Commutator Theory, we get that a minimal idempotent variety that is not congruence distributive is term-equivalent to the variety of sets, the variety of semilattices, or a variety of affine modules over a simple ring.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 08B10
zbMATH DE Number: 1899949
zbMATH Keywords: congruence modularity
zbMATH Keywords: idempotent variety
zbMATH Keywords: minimal variety
author: Keith A. Kearnes
MaRDI profile type: Publication
full work available at URL: s000120050169
OpenAlex ID: W2028143837
DOI: 10.1007/S000120050169
description: scientific article; zbMATH DE number 1899949