n-ary semigroup; n-ary group; associativity; polynomial function
Résumé :
[en] We provide a complete classification of the n-ary semigroup structures defined by polynomial functions over infinite commutative integral domains with identity, thus generalizing Glazek and Gleichgewicht's classification of the corresponding ternary semigroups.
Centre de recherche :
Mathematics Research Unit
Disciplines :
Mathématiques
Identifiants :
UNILU:UL-ARTICLE-2011-405
Auteur, co-auteur :
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
MATHONET, Pierre ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Langue du document :
Anglais
Titre :
A description of n-ary semigroups polynomial-derived from integral domains
