Aczélian n-ary semigroups

Marichal, Jean-Luc; Couceiro, Miguel

Marichal, Jean-Luc; Couceiro, Miguel (2012), Aczélian n-ary semigroups, Semigroup Forum, 85, 1, p. 81-90. http://dx.doi.org/10.1007/s00233-011-9354-2

Type

Article accepté pour publication ou publié

External document link

http://arxiv.org/abs/1107.4989v2

Date

2012

Journal name

Semigroup Forum

Volume

Number

Publisher

Springer

Pages

81-90

Abstract (EN)

We show that 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 (Bull. Soc. Math. Fr. 76:59–64, 1949); there symmetry was redundant.

Subjects / Keywords

n-ary semigroup; Aczélian semigroup; Cancellativity; Continuity