Reference : Quasitrivial semigroups: characterizations and enumerations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
Computational Sciences
http://hdl.handle.net/10993/34419
Quasitrivial semigroups: characterizations and enumerations
English
Couceiro, Miguel mailto [LORIA, CNRS - Inria Nancy Grand Est - Université de Lorraine]
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Jun-2019
Semigroup Forum
Springer
98
3
472–498
Yes (verified by ORBilu)
International
0037-1912
1432-2137
New York
NY
[en] Quasitrivial semigroup ; quasitrivial and commutative semigroup ; quasitrivial and order-preserving semigroups ; enumeration of quasitrivial semigroups ; single-peaked ordering ; single-plateaued weak ordering
[en] 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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/34419
10.1007/s00233-018-9928-3
https://arxiv.org/abs/1709.09162v3

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