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- W2004986871 abstract "We compute a set of identities defining the Mal'cev product of pseudovarieties of finite semigroups or finite ordered semigroups. We also characterize the pointlike subsets of a finite semigroup by means of a relational morphism into a profinite semigroup. Finally, we apply our results to the proof of the decidability of the Mal'cev products of a decidable pseudovariety with the pseudovarieties of nilpotent and of J-trivial semigroups. Nous calculons un ensemble d'identités définissant le produit de Mal'cev de pseudovariétés de semigroupes finis ou de semigroupes finis ordonnés. Nous caractérisons aussi les parties ponctuelles d'un semigroupe fini à l'aide d'un morphisme relationnel dans un semigroupe profini. Enfin, nous appliquons nos résultats à la preuve de la décidabilité des produits de Mal'cev d'une pseudovariété décidable avec la pseudovariété des semigroupes nilpotents et avec celle des semigroupes J-triviaux." @default.
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- W2004986871 date "1996-06-01" @default.
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- W2004986871 title "Profinite Semigroups, Mal'cev Products, and Identities" @default.
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- W2004986871 doi "https://doi.org/10.1006/jabr.1996.0192" @default.
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