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|Title:||Complete kappa-reducibility of pseudovarieties of the form DRH|
|Abstract:||We denote by. the implicit signature that contains the multiplication and the (omega-1)-power. It is proved that for any completely kappa-reducible pseudovariety of groups H, the pseudovariety DRH of all finite semigroups whose regular R-classes are groups in H is completely kappa-reducible as well. The converse also holds. The tools used by Almeida, Costa, and Zeitoun for proving that the pseudovariety of all finite R-trivial monoids is completely kappa-reducible are adapted for the general setting of a pseudovariety of the form DRH.|
|Document Type:||Artigo em Revista Científica Internacional|
|Appears in Collections:||FCUP - Artigo em Revista Científica Internacional|
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