Aczélian n-ary semigroups
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
TypeArticle accepté pour publication ou publié
External document linkhttp://arxiv.org/abs/1107.4989v2
Journal nameSemigroup Forum
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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 / Keywordsn-ary semigroup; Aczélian semigroup; Cancellativity; Continuity
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