Reference : Aczélian n-ary semigroups
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/2844
Aczélian n-ary semigroups
English
Couceiro, Miguel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Aug-2012
Semigroup Forum
Springer
85
1
81-90
Yes (verified by ORBilu)
International
0037-1912
1432-2137
New York
NY
[en] n-ary semigroup ; Aczélian semigroup ; cancellativity ; continuity
[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.
http://hdl.handle.net/10993/2844
10.1007/s00233-011-9354-2
http://arxiv.org/abs/1107.4989

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
AczelianNarySemigroups.pdfAuthor postprint113.72 kBView/Open
Limited access
PV-AczelianNarySemigroups.pdfPublisher postprint426.04 kBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.