Browsing by Author "Costa, J. C."
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- Semigroup presentations for test local groupsPublication . 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.