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Article (Scientific journals)
Characterizations of quasitrivial symmetric nondecreasing associative operations
Devillet, Jimmy; Kiss, Gergely; Marichal, Jean-Luc
2019 • In Semigroup Forum, 98 (1), p. 154-171
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https://hdl.handle.net/10993/34499
DOI
10.1007/s00233-018-9980-z
 

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Keywords :
n-ary semigroup; associativity; bisymmetry; ultrabisymmetry; neutral element; axiomatization
Abstract :
[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.
Disciplines :
Computer science
Mathematics
Author, co-author :
Devillet, Jimmy ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Kiss, Gergely 
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Characterizations of quasitrivial symmetric nondecreasing associative operations
Publication date :
February 2019
Journal title :
Semigroup Forum
ISSN :
1432-2137
Publisher :
Springer, New York, Germany
Volume :
98
Issue :
1
Pages :
154-171
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Additional URL :
https://arxiv.org/abs/1705.00719
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 08 February 2018

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