A characterization of $n$-associative, monotone, idempotent functions on an interval that have neutral elements
Group Theory
2017-11-16 v2
Abstract
We investigate monotone idempotent -ary semigroups. One of the main result of this article is the generalisation of Czogala-Drewniak Theorem, which describes the idempotent monotone associative functions having neutral element. Furthermore we present the full characterisation of idempotent, monotone, -associative functions on an interval which have neutral elements. %{\bl defined}. Our description provides that monotone, idempotent, -ary semigroups are quasitrivial.
Keywords
Cite
@article{arxiv.1609.00279,
title = {A characterization of $n$-associative, monotone, idempotent functions on an interval that have neutral elements},
author = {Gergely Kiss and Gábor Somlai},
journal= {arXiv preprint arXiv:1609.00279},
year = {2017}
}