Equations on the semidirect product of a finite semilattice by a finite commutative monoid (Q1328448)
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scientific article; zbMATH DE number 611116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equations on the semidirect product of a finite semilattice by a finite commutative monoid |
scientific article; zbMATH DE number 611116 |
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Equations on the semidirect product of a finite semilattice by a finite commutative monoid (English)
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19 July 1995
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The classes of semigroups studied in this paper are uniformly periodic pseudovarieties of finite commutative monoids. The authors consider the pseudovarieties obtained as semidirect products of each such class with the pseudovariety of all finite semilattices. The resulting product pseudovarieties are characterized in terms of the syntactic monoids which belong to them. Finally the authors obtain a defining set of identities for each such product pseudovariety.
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uniformly periodic pseudovarieties of finite commutative monoids
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semidirect products
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finite semilattices
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syntactic monoids
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defining set of identities
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