Aczélian n-ary semigroups

Reference : Aczélian n-ary semigroups


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/2844

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 ORBi^lu)
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

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