Quasitrivial semigroups: characterizations and enumerations

نویسندگان

  • Miguel Couceiro
  • Jimmy Devillet
  • Jean-Luc Marichal
چکیده

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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عنوان ژورنال:
  • CoRR

دوره abs/1709.09162  شماره 

صفحات  -

تاریخ انتشار 2017