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Journal Articles Semigroup Forum Year : 2019

Quasitrivial semigroups: Characterizations and enumerations

Abstract

We investigate the class of quasitrivial semigroups and provide various characterizations of the subclass of quasitrivial and commutative semigroups as well as the subclass of quasitrivial and order-preserving semigroups. We also determine explicitly the sizes of these classes when the semigroups are defined on finite sets. As a byproduct of these enumerations, we obtain several new integer sequences.
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Dates and versions

hal-01826868 , version 1 (30-06-2018)
hal-01826868 , version 2 (02-07-2018)

Identifiers

Cite

Miguel Couceiro, Jimmy Devillet, Jean-Luc Marichal. Quasitrivial semigroups: Characterizations and enumerations. Semigroup Forum, 2019, 98 (3), pp.472-498. ⟨10.1007/s00233-018-9928-3⟩. ⟨hal-01826868v2⟩
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