Title : Aczélian n-ary semigroups
Language : English
Author, co-author : Couceiro, Miguel [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date : Aug-2012
Journal title : Semigroup Forum
Publisher : Springer
Volume : 85
Issue/season : 1
Pages : 81-90
Peer reviewed : Yes (verified by ORBilu )
Audience : International
ISSN : 0037-1912
e-ISSN : 1432-2137
City : New York
Country : NY
Keywords : [en] n-ary semigroup ; Aczélian semigroup ; cancellativity ; continuity
Abstract : [en] 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.
Permalink : http://hdl.handle.net/10993/2844
DOI : 10.1007/s00233-011-9354-2
Other URL : http://arxiv.org/abs/1107.4989