2020
DOI: 10.1007/978-3-030-55215-2_4
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Free Profinite Monoids, Semigroups and Groups

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“…In this section we will show that (S 0 (T M(Fin) ), ⊗) the space of completions of the theory T M(Fin) together with the operation ⊗ (see corollary 3.13), is * the free profinite monoid on one generator. For an algebraic introduction to the free profinite monoid on one generator see [Alm+20], in particular the beginning of subsection 4.4 on page 96, with the case where A is a singleton in mind.…”
mentioning
confidence: 99%
“…In this section we will show that (S 0 (T M(Fin) ), ⊗) the space of completions of the theory T M(Fin) together with the operation ⊗ (see corollary 3.13), is * the free profinite monoid on one generator. For an algebraic introduction to the free profinite monoid on one generator see [Alm+20], in particular the beginning of subsection 4.4 on page 96, with the case where A is a singleton in mind.…”
mentioning
confidence: 99%