Aczelian n-ary semigroups

Abstract : We show that the real continuous, symmetric, and cancellative n-ary semigroups are topologically order-isomorphic to additive real n-ary semigroups. The binary case (n=2) was originally proved by Aczél (1949); there symmetry was redundant.
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Miguel Couceiro, Jean-Luc Marichal. Aczelian n-ary semigroups. Semigroup Forum, Springer Verlag, 2012, 85 (1), pp.10. ⟨hal-01090588⟩

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