Characterizations of quasitrivial symmetric nondecreasing associative operations
Rings and Algebras
2019-03-01 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1705.00719,
title = {Characterizations of quasitrivial symmetric nondecreasing associative operations},
author = {Jimmy Devillet and Gergely Kiss and Jean-Luc Marichal},
journal= {arXiv preprint arXiv:1705.00719},
year = {2019}
}