Minimal varieties and quasivarieties of semilattices with one automorphism
type: Item
instance of: scholarly article
title: Minimal varieties and quasivarieties of semilattices with one automorphism
zbMATH Open document ID: 1171.08002
author: M. Maróti
author: W. Dziobiak
author: Jaroslav Ježek
published in: Semigroup Forum
publication date: 2009-04-27T00:00:00Z
review text: The authors describe all minimal quasivarieties and all minimal varieties in the variety \(S\) of semilattices with one automorphism (considered as algebras with one binary and two unary operations). They remark that the lattice of varieties contained in \(S\) is uncountable.
Mathematics Subject Classification ID: 08C15
Mathematics Subject Classification ID: 06A12
Mathematics Subject Classification ID: 08B15
zbMATH DE Number: 5547484
zbMATH Keywords: semilattice
zbMATH Keywords: automorphism
zbMATH Keywords: variety
zbMATH Keywords: quasivariety
reviewed by: Alexander Ivanovich Budkin
MaRDI profile type: Publication
full work available at URL: s00233-008-9087-z
OpenAlex ID: W2034358754
cites work: Open questions related to the problem of Birkhoff and Maltsev
cites work: Q5611799
cites work: Subdirectly irreducible semilattices with an automorphism
cites work: Q3235343
cites work: Q3235342
cites work: A Characterization of Minimal Locally Finite Varieties
cites work: Q3751631
cites work: Q4029637
cites work: On Implicational Completeness
cites work: The Number of Proper Minimal Quasivarieties of Groupoids
DOI: 10.1007/S00233-008-9087-Z
description: scientific article; zbMATH DE number 5547484