Reference : Bisymmetric and quasitrivial operations: characterizations and enumerations
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Bisymmetric and quasitrivial operations: characterizations and enumerations
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
In press
Aequationes Mathematicae
Birkhauser Verlag
[en] Bisymmetry ; mediality ; quasitrivial operation ; quasitrivial and bisymmetric operation ; enumeration of quasitrivial and bisymmetric operations
[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.
University of Luxembourg - UL ; Fonds National de la Recherche - FnR
Researchers ; Professionals ; Students

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