Seminário de Semigrupos, Autómatos e Linguagens

Irreducibility of pseudovarieties of semigroups

Jorge Almeida (CMUP, Universidade do Porto, Portugal)

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31/07/2012

Abstract:

We show that, for every pseudovariety of groups H, the pseudovariety consisting of all finite semigroups all of whose subgroups lie in H, is irreducible for join and the Mal'cev and semidirect products. This improves results of Margolis-Sapir-Weil and Rhodes-Steinberg. We further announce some related results on join irreducibility. (Joint work with Ondrej Klíma.)

Organização

Centro de Álgebra da Universidade de Lisboa

Localização

Instituto para a Investigação Interdisciplinar da UL, Sala B1-01

Horário

16h30m

Matemática