Some open problems concerning relatively free and free profinite semigroups (Q1597722)
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scientific article; zbMATH DE number 1747978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some open problems concerning relatively free and free profinite semigroups |
scientific article; zbMATH DE number 1747978 |
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Some open problems concerning relatively free and free profinite semigroups (English)
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30 May 2002
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The author formulates three groups of new problems concerning certain relatively free and free profinite semigroups. The problems deal with the first-order theories of free profinite semigroups (Problems 1.1, 1.2), the structure of free Burnside semigroups with commuting idempotents and of free Burnside inverse semigroups (Problems 2.1-2.4), and the representation of finitely generated free bands by order preserving transformations of a finite chain (Problems 3.1-3.3). Each of them is provided with detailed motivation. A couple of yet unpublished related results and outlines of their proofs are also included.
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semigroup varieties
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semigroup pseudovarieties
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relatively free semigroups
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free profinite semigroups
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free Burnside inverse semigroups
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problems
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