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Article (Scientific journals)
Aczélian n-ary semigroups
Couceiro, Miguel; Marichal, Jean-Luc
2012 • In Semigroup Forum, 85 (1), p. 81-90
Peer Reviewed verified by ORBi
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https://hdl.handle.net/10993/2844
DOI
10.1007/s00233-011-9354-2
 

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Keywords :
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.
Disciplines :
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2012-674
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
Language :
English
Title :
Aczélian n-ary semigroups
Publication date :
August 2012
Journal title :
Semigroup Forum
ISSN :
1432-2137
Publisher :
Springer, New York, United States - New York
Volume :
85
Issue :
1
Pages :
81-90
Peer reviewed :
Peer Reviewed verified by ORBi
Additional URL :
http://arxiv.org/abs/1107.4989
Available on ORBilu :
since 24 June 2013

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