Reference : Characterizations of quasitrivial symmetric nondecreasing associative operations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
Computational Sciences
http://hdl.handle.net/10993/34499
Characterizations of quasitrivial symmetric nondecreasing associative operations
English
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Kiss, Gergely []
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Feb-2019
Semigroup Forum
Springer
98
1
154-171
Yes (verified by ORBilu)
International
0037-1912
1432-2137
New York
Germany
[en] n-ary semigroup ; associativity ; bisymmetry ; ultrabisymmetry ; neutral element ; axiomatization
[en] We provide a description of the class of n-ary operations on an arbitrary chain that are quasitrivial, symmetric, nondecreasing, and associative. We also prove that associativity can be replaced with bisymmetry in the definition of this class. Finally we investigate the special situation where the chain is finite.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/34499
10.1007/s00233-018-9980-z
https://arxiv.org/abs/1705.00719

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