On the irreducibility of pseudovarieties of semigroups

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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
Citation
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.
Related projects:	Mathematical structures and their physical applications Algebraic Methods in Automata and Formal Language Theory II