Aczélian n-ary semigroups

dc.contributor.author	Marichal, Jean-Luc
dc.contributor.author	Couceiro, Miguel HAL ID: 1498
dc.date.accessioned	2012-10-02T07:57:39Z
dc.date.available	2012-10-02T07:57:39Z
dc.date.issued	2012
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/10388
dc.language.iso	en	en
dc.subject	n-ary semigroup	en
dc.subject	Aczélian semigroup	en
dc.subject	Cancellativity	en
dc.subject	Continuity	en
dc.subject.ddc	512	en
dc.title	Aczélian n-ary semigroups	en
dc.type	Article accepté pour publication ou publié
dc.contributor.editoruniversityother	Universite du Luxembourg;
dc.description.abstracten	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.	en
dc.relation.isversionofjnlname	Semigroup Forum
dc.relation.isversionofjnlvol	85	en
dc.relation.isversionofjnlissue	1	en
dc.relation.isversionofjnldate	2012
dc.relation.isversionofjnlpages	81-90	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1007/s00233-011-9354-2	en
dc.identifier.urlsite	http://arxiv.org/abs/1107.4989v2	en
dc.relation.isversionofjnlpublisher	Springer	en
dc.subject.ddclabel	Algèbre	en
dc.relation.forthcoming	non	en
dc.relation.forthcomingprint	non	en

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