Title : Characterizations of quasitrivial symmetric nondecreasing associative operations Language : English 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 >] Publication date : Feb-2019 Journal title : Semigroup Forum Publisher : Springer Volume : 98 Issue/season : 1 Pages : 154-171 Peer reviewed : Yes (verified by ORBilu ) Audience : International ISSN : 0037-1912 e-ISSN : 1432-2137 City : New York Country : Germany Keywords : [en] n-ary semigroup ; associativity ; bisymmetry ; ultrabisymmetry ; neutral element ; axiomatizationAbstract : [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.Funders : University of Luxembourg - UL Target : Researchers ; Professionals ; Students Permalink : http://hdl.handle.net/10993/34499 DOI : 10.1007/s00233-018-9980-z Other URL : https://arxiv.org/abs/1705.00719 
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
