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Semidirect product with an order-computable pseudovariety and tameness

Semidirect product with an order-computable pseudovariety and tameness,10.1007/s00233-010-9236-z,Semigroup Forum,Jorge Almeida,J. C. Costa,M. L. Teixe

Semidirect product with an order-computable pseudovariety and tameness  
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The semidirect product of pseudovarieties of semigroups with an order-computable pseudovariety is investigated. The essential tool is the natural representation of the corresponding relatively free profinite semigroups and how it transforms implicit signatures. Several results concerning the behavior of the operation with respect to various kinds of tameness properties are obtained as applications.
Journal: Semigroup Forum , vol. 81, no. 1, pp. 26-50, 2010
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