Continual series of minimal quasivarieties of \(\ell\)-groups (Q1335903)
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scientific article; zbMATH DE number 652170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continual series of minimal quasivarieties of \(\ell\)-groups |
scientific article; zbMATH DE number 652170 |
Statements
Continual series of minimal quasivarieties of \(\ell\)-groups (English)
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8 November 1994
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In this paper the continual series of \(\ell\)-quasivarieties minimal over the \(\ell\)-variety \({\mathfrak A}_ \ell\) of Abelian \(\ell\)-groups is constructed. All these \(\ell\)-quasivarieties are generated by totally ordered free groups and are weakly Abelian (Theorems 2, 3).
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lattice-ordered group
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\(\ell\)-variety of Abelian \(\ell\)-groups
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\(\ell\)- quasivarieties
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totally ordered free groups
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weakly Abelian
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