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
Type
Article accepté pour publication ou publiéExternal document link
http://arxiv.org/abs/1107.4989v2Date
2012Journal name
Semigroup ForumVolume
85Number
1Publisher
Springer
Pages
81-90
Publication identifier
Metadata
Show full item recordAbstract (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; ContinuityRelated items
Showing items related by title and author.
-
Bouyssou, Denis; Couceiro, Miguel; Labreuche, Christophe; Marichal, Jean-Luc; Mayag, Brice (2012) Communication / Conférence
-
Bouyssou, Denis; Couceiro, Miguel; Labreuche, Christophe; Marichal, Jean-Luc; Mayag, Brice (2012) Communication / Conférence
-
Couceiro, Miguel; Marichal, Jean-Luc (2012) Communication / Conférence
-
Marichal, Jean-Luc; Couceiro, Miguel (2011) Article accepté pour publication ou publié
-
Marichal, Jean-Luc; Couceiro, Miguel (2010) Article accepté pour publication ou publié