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 >]
[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 X 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 X is finite.
University of Luxembourg - UL
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