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Classifications of quasitrivial semigroups
Devillet, Jimmy; Marichal, Jean-Luc; Teheux, Bruno
2020 • In Semigroup Forum, 100 (3), p. 743-764
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https://hdl.handle.net/10993/37509
DOI
10.1007/s00233-020-10087-5
 

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Keywords :
Quasitrivial semigroup; classification; enumeration; group action
Abstract :
[en] We investigate classifications of quasitrivial semigroups defined by certain equivalence relations. The subclass of quasitrivial semigroups that preserve a given total ordering is also investigated. In the special case of finite semigroups, we address and solve several related enumeration problems.
Disciplines :
Mathematics
Computer science
Computer science
Mathematics
Author, co-author :
Devillet, Jimmy ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Teheux, Bruno ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Classifications of quasitrivial semigroups
Publication date :
04 February 2020
Journal title :
Semigroup Forum
ISSN :
1432-2137
Publisher :
Springer, New York, Germany
Volume :
100
Issue :
3
Pages :
743-764
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Additional URL :
https://arxiv.org/abs/1811.11113
Name of the research project :
R-AGR-0500 - IRP15 - MRO3 (20150301-20181231) - MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 28 November 2018

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