Coverings in the lattice of quasivarieties of \(\ell\)-groups (Q1587002)
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scientific article; zbMATH DE number 1534543
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coverings in the lattice of quasivarieties of \(\ell\)-groups |
scientific article; zbMATH DE number 1534543 |
Statements
Coverings in the lattice of quasivarieties of \(\ell\)-groups (English)
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21 November 2000
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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 \(\mathcal A\).
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orderable group
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linear order
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wreath product of groups
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quasivarieties of \(\ell\)-groups
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