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Associative polynomial functions over bounded distributive lattices

dc.contributor.authorMarichal, Jean-Luc
dc.contributor.authorCouceiro, Miguel
HAL ID: 1498
dc.date.accessioned2012-09-26T10:16:17Z
dc.date.available2012-09-26T10:16:17Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10207
dc.language.isoenen
dc.subjectBounded distributive latticeen
dc.subjectPolynomial functionen
dc.subjectAssociativityen
dc.subjectIdempotencyen
dc.subjectRange-idempotencyen
dc.subjectFunctional equationen
dc.subject.ddc512en
dc.titleAssociative polynomial functions over bounded distributive latticesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversite du Luxembourg;
dc.description.abstractenThe associativity property, usually defined for binary functions, can be generalized to functions of a given fixed arity n ⩾ 1 as well as to functions of multiple arities. In this paper, we investigate these two generalizations in the case of polynomial functions over bounded distributive lattices and present explicit descriptions of the corresponding associative functions. We also show that, in this case, both generalizations of associativity are essentially the same.en
dc.relation.isversionofjnlnameOrder
dc.relation.isversionofjnlvol28en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages1-8en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s11083-010-9150-8en
dc.identifier.urlsitehttp://arxiv.org/abs/0902.2323en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAlgèbreen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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