On embedding of finitely generated profinite semigroups into \(2\)-generated profinite semigroups (Q1272151)
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scientific article; zbMATH DE number 1226237
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On embedding of finitely generated profinite semigroups into \(2\)-generated profinite semigroups |
scientific article; zbMATH DE number 1226237 |
Statements
On embedding of finitely generated profinite semigroups into \(2\)-generated profinite semigroups (English)
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23 November 1998
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The author proves the existence of a semigroup pseudovariety \(\mathcal V\) such that the \(n\)-generated (\(n\geq 3\)) \(\mathcal V\)-free profinite semigroup is not embeddable in the \(2\)-generated one, and such that the free semigroup over the variety generated by \(\mathcal V\) is free.
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pseudovarieties of semigroups
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free semigroups
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finitely generated profinite semigroups
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embeddings
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0.9036499
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0.8924807
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0.89176965
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0.89094675
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0.88544965
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0.8810464
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0.87942445
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