On the Possible Monoid Structures of the Natural Numbers N, or Finding All Associative Binary Operations on N
General Mathematics
2007-05-23 v1
Abstract
A certain analysis of all possible associative binary operations on N is presented. This is equivalent with an analysis of all possible monoid structures on N. Several results and a conjecture in this regard are given.
Cite
@article{arxiv.math/0508215,
title = {On the Possible Monoid Structures of the Natural Numbers N, or Finding All Associative Binary Operations on N},
author = {Elemer E Rosinger},
journal= {arXiv preprint arXiv:math/0508215},
year = {2007}
}