On the irreducibility of pseudovarieties of semigroups

• Authors: MENESES GUIMARÄES DE ALMEIDA Jorge Manuel; KLÍMA Ondřej
• Year of publication: 2016
• Type: Article in Periodical
• Magazine / Source: Journal of Pure and Applied Algebra
• MU Faculty or unit: Faculty of Science
• Web: http://www.sciencedirect.com/science/article/pii/S0022404915002637
• Doi: http://dx.doi.org/10.1016/j.jpaa.2015.09.015
• Field: General mathematics
• Keywords: Profinite semigroups; pseudovarieties; join irreducibility
• Description: We show that, for every pseudovariety of groups H, the pseudovariety H', consisting of all finite semigroups all of whose subgroups lie in H, is irreducible for join and the Mal'cev and semidirect products.

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