Bisymmetry; mediality; quasitrivial operation; quasitrivial and bisymmetric operation; enumeration of quasitrivial and bisymmetric operations
Résumé :
[en] We investigate the class of bisymmetric and quasitrivial binary
operations on a given set and provide various characterizations of this class as
well as the subclass of bisymmetric, quasitrivial, and order-preserving binary
operations. We also determine explicitly the sizes of these classes when the set
is finite.
Disciplines :
Mathématiques
Auteur, co-auteur :
DEVILLET, Jimmy ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Bisymmetric and quasitrivial operations: characterizations and enumerations
