Characterizations of quasitrivial symmetric nondecreasing associative operations

[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 :

0037-1912

eISSN :

1432-2137

Publisher :

Springer, New York, Germany

Volume :

Issue :

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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