Multiplicative structure of 2x2 tropical matrices
Group Theory
2009-07-03 v1
Abstract
We study the algebraic structure of the semigroup of all tropical matrices under multiplication. Using ideas from tropical geometry, we give a complete description of Green's relations and the idempotents and maximal subgroups of this semigroup.
Keywords
Cite
@article{arxiv.0907.0314,
title = {Multiplicative structure of 2x2 tropical matrices},
author = {Marianne Johnson and Mark Kambites},
journal= {arXiv preprint arXiv:0907.0314},
year = {2009}
}
Comments
21 pages, 5 figures