Semigroup identities in the monoid of triangular tropical matrices
Rings and Algebras
2013-05-17 v1
Abstract
We show that the submonoid of all nxn triangular tropical matrices satisfies a nontrivial semigroup identity and provide a generic construction for classes of such identities. The utilization of the Fibonacci number formula gives us an upper bound on the length of these 2-variable semigroup identities.
Keywords
Cite
@article{arxiv.1305.3903,
title = {Semigroup identities in the monoid of triangular tropical matrices},
author = {Zur Izhakian},
journal= {arXiv preprint arXiv:1305.3903},
year = {2013}
}
Comments
13 pages