Aczélian n-ary semigroups

Details Aczélian n-ary semigroups Aczélian n-ary semigroups

2011-07-25

arxiv.org/abs/1107.4989v1

Mathematics

Rings and Algebras

Scientific paper

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 Acz\'el (1949);
there symmetry was redundant.

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