Tropical one-relation monoids
Rings and Algebras
2022-09-27 v1 Group Theory
Abstract
In 2010, Izhakian & Margolis proved that the bicyclic monoid admits a representation as a semigroup of upper triangular tropical matrices. We extend this result by classifying all one-relation monoids which admit such representations. We also classify, with two exceptions, all one-relation monoids which admit representations as semigroups of tropical matrices.
Keywords
Cite
@article{arxiv.2209.12612,
title = {Tropical one-relation monoids},
author = {Carl-Fredrik Nyberg-Brodda},
journal= {arXiv preprint arXiv:2209.12612},
year = {2022}
}
Comments
16 pages, 39 references. Comments welcome!