Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Equidivisible pseudovarieties of semigroups
Publication Date:	2016-03-03
Authors:	- Jorge Almeida - Alfredo Costa
Abstract:	We give a complete characterization of pseudovarieties of semigroups whose finitely generated relatively free profinite semigroups are equidivisible. Besides the pseudovarieties of completely simple semigroups, they 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 is as the non-completely simple pseudovarieties that are closed under two-sided Karnofsky-Rhodes expansion.
Institution:	DMUC 16-05
Online version:	http://www.mat.uc.pt...prints/eng_2016.html
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