Idempotent means on free binary systems do not exist
Combinatorics
2018-07-17 v1 Group Theory
Logic
Abstract
Free binary systems are shown to not admit idempotent means. This refutes a conjecture of the author. It is also shown that the extension of Hindman's theorem to nonassociative binary systems formulated and conjectured by the author is false.
Cite
@article{arxiv.1807.05469,
title = {Idempotent means on free binary systems do not exist},
author = {Justin Tatch Moore},
journal= {arXiv preprint arXiv:1807.05469},
year = {2018}
}
Comments
4 pages, comments welcome