Bisymmetric and quasitrivial operations: characterizations and enumerations

12/21/2017

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by   Jimmy Devillet, et al.

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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.