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Article (Scientific journals)
Bisymmetric and quasitrivial operations: characterizations and enumerations
DEVILLET, Jimmy
2019 • In Aequationes Mathematicae, 93 (3), p. 501-526
Peer Reviewed verified by ORBi
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https://hdl.handle.net/10993/34522
DOI
10.1007/s00010-019-00644-x
 

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Keywords :
Bisymmetry; mediality; quasitrivial operation; quasitrivial and bisymmetric operation; enumeration of quasitrivial and bisymmetric operations
Abstract :
[en] We investigate the class of bisymmetric and quasitrivial binary operations on a given set 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 is finite.
Disciplines :
Mathematics
Author, co-author :
DEVILLET, Jimmy ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Bisymmetric and quasitrivial operations: characterizations and enumerations
Publication date :
June 2019
Journal title :
Aequationes Mathematicae
ISSN :
0001-9054
eISSN :
1420-8903
Publisher :
Birkhauser Verlag, Basel, Switzerland
Volume :
93
Issue :
3
Pages :
501-526
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Additional URL :
https://arxiv.org/abs/1712.07856
FnR Project :
FNR10949314 - Geometric And Stochastic Methods In Mathematics And Applications, 2015 (01/10/2016-31/03/2023) - Gabor Wiese
Name of the research project :
R-AGR-0500 - IRP15 - MRO3 (20150301-20181231) - MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
FNR - Fonds National de la Recherche
Available on ORBilu :
since 08 February 2018

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