Bisymmetry; mediality; quasitrivial operation; quasitrivial and bisymmetric operation; enumeration of quasitrivial and bisymmetric operations
Abstract :
[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 :
Mathematics
Author, co-author :
Devillet, Jimmy ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Bisymmetric and quasitrivial operations: characterizations and enumerations
