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Author(s): Almeida, J
Costa, A
Title: Equidivisible pseudovarieties of semigroups
Issue Date: 2017
Abstract: We give a complete characterization of pseudovarieties of semigroups whose finitely generated relatively free profinite semigroups are equidivisible. They, besides the pseudovarieties of completely simple semigroups, are precisely the pseudovarieties that are closed under Mal'cev product on the left by the pseudovariety of locally trivial semigroups. A further characterization, which turns out to be instrumental, states that they are the non-completely simple pseudovarieties that are closed under two-sided Karnofsky-Rhodes expansion. (c) 2017 University of Debrecen, Institute of Mathematics.
Document Type: Artigo em Revista Científica Internacional
Rights: openAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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