Lattice of Mal'tsev theories
type: Item
instance of: scholarly article
title: Lattice of Mal'tsev theories
zbMATH Open document ID: 0588.08004
DOI: 10.1007/BF01979866
author: D. M. Smirnov
published in: Algebra and Logic
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187271
review text: The paper continues the investigations initiated in [Algebra Logika 22, 693-706 (1983; Zbl 0575.08004)]. The author studies Mal'cev theories and proves that they form a complete lattice (under inclusion) which is dually isomorphic to the lattice of nonempty special Mal'cev classes (or \(S_{\delta}\)-classes).
Mathematics Subject Classification ID: 08B05
Mathematics Subject Classification ID: 08B15
zbMATH DE Number: 3943891
zbMATH Keywords: Mal'cev theories
zbMATH Keywords: complete lattice
zbMATH Keywords: special Mal'cev classes
reviewed by: Leo Esakia
MaRDI profile type: Publication
cites work: Mal'tsev conditions and representability of varieties
cites work: A model theoretic approach to Malcev conditions
cites work: Congruence varieties
cites work: Characterizing Mal'cev conditions
OpenAlex ID: W1976629476
description: scientific article; zbMATH DE number 3943891