Strategic Project - UI 13 - 2011-2012

Publications

Semigroup presentations for test local groups

Publication . Costa, J. C.; Nogueira, C.; Teixeira, M. L.

In this paper we exhibit a type of semigroup presentation which determines a class of local groups. We show that the finite elements of this class generate the pseudovariety LG of all finite local groups and use them as test-semigroups to prove that LG and S, the pseudovariety of all finite semigroups, verify the same $κ-identities involving κ-terms of rank at most 1, where κ denotes the implicit signature consisting of the multiplication and the (ω-1)-power.

2015-06Journal article

Open access

Keywords

Pure Mathematics,Biostatistics,Modelling and Simulation,Computational Mathematics, Exact sciences ,Exact sciences/Mathematics

Funding agency

Fundação para a Ciência e a Tecnologia, I.P.
Fundação para a Ciência e a Tecnologia, I.P.

Funding programme

6820 - DCRRNI ID
Concurso para Financiamento de Projectos de IC&DT Estratégicos e de Interesse Público promovidos por Laboratórios Associados e Unidades de I&D - 2011 - COMPETE

Funding Award Number

PEst-C/MAT/UI0013/2011