Varieties of \(\ell\)-groups with infinite axiomatic rank (Q1065044)
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scientific article; zbMATH DE number 3920551
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Varieties of \(\ell\)-groups with infinite axiomatic rank |
scientific article; zbMATH DE number 3920551 |
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Varieties of \(\ell\)-groups with infinite axiomatic rank (English)
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1985
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The author constructs the variety of nilpotent metabelian lattice ordered groups of the degree 3 with infinite axiomatic rank. It is shown that the lattice of varieties of nilpotent \(\ell\)-groups of degree n (n\(\geq 3)\) has the cardinality of the continuum. There are introduced some corollaries for \(\ell\)-ordered Lie algebras.
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variety of nilpotent metabelian lattice ordered groups
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infinite axiomatic rank
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lattice of varieties
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\(\ell \)-ordered Lie algebras
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