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Bisymmetric and quasitrivial operations: characterizations and enumerations
Published 21 Dec 2017 in math.RA, cs.DM, and math.CO | (1712.07856v2)
Abstract: 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.
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