Equations on semidirect products of commutative semigroups (Q1362888)
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scientific article; zbMATH DE number 1045580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equations on semidirect products of commutative semigroups |
scientific article; zbMATH DE number 1045580 |
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Equations on semidirect products of commutative semigroups (English)
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11 February 1998
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Let \(\text{Com}_{q,r}\) denote the pseudovariety of all finite semigroups satisfying the identities \(xy=yx\) and \(x^{r+q}=x^r\). An algorithm is described which decides when an identity holds in the semidirect product \(\text{Com}_{q,r}*\text{Com}_{q',r'}\). Finite bases of identities are obtained for these and some other pseudovarieties.
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membership problem
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pseudovarieties of finite semigroups
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semidirect products
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bases of identities
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commutative semigroups
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0.9435372
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0.8935423
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0.89126694
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0.8903708
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0.8889593
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