Reference : Bisymmetric and quasitrivial operations: characterizations and enumerations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
http://hdl.handle.net/10993/34522
Bisymmetric and quasitrivial operations: characterizations and enumerations
English
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Jun-2019
Aequationes Mathematicae
Birkhauser Verlag
93
3
501-526
Yes (verified by ORBilu)
International
0001-9054
1420-8903
Basel
Switzerland
[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
R-AGR-0500 > MRO3 > 01/03/2015 - 28/02/2018 > MARICHAL Jean-Luc
Researchers
http://hdl.handle.net/10993/34522
10.1007/s00010-019-00644-x
https://arxiv.org/abs/1712.07856

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