Coverings in the lattice of quasivarieties of \(\ell\)-groups
type: Item
instance of: scholarly article
title: Coverings in the lattice of quasivarieties of \(\ell\)-groups
zbMATH Open document ID: 0954.06014
DOI: 10.1007/BF02674597
author: O. V. Isaeva
author: N. Ya. Medvedev
published in: Siberian Mathematical Journal
publication date: 2000-11-21T00:00:00Z
full work available at URL: https://eudml.org/doc/120751
review text: Let \(\mathcal A\) be the variety of abelian linearly ordered groups (\(\ell\)-groups). The authors present new examples of quasivarieties of \(\ell\)-groups that cover \(\mathcal A\). They consider the direct wreath product of two infinite cyclic groups and define a proper linear order on it. Then they prove that the quasivarieties generated by these \(\ell\)-groups cover \(\mathcal A\).
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 20F60
Mathematics Subject Classification ID: 08C15
zbMATH DE Number: 1534543
zbMATH Keywords: orderable group
zbMATH Keywords: linear order
zbMATH Keywords: wreath product of groups
zbMATH Keywords: quasivarieties of \(\ell\)-groups
MaRDI profile type: Publication
cites work: Q3362802
cites work: Q3682535
cites work: Q5583892
cites work: Q4841570
OpenAlex ID: W4243703855
description: scientific article; zbMATH DE number 1534543