3 papers
math.GR2025
The Schützenberger groups and maximal subgroups of tropical matrices
Thomas Aird
We classify the Schützenberger groups of the category of matrices over the tropical semiring, , in doing so, we obtain a classification for the Schützenberger groups…
math.RA2023
Plactic-like monoids arising from meets and joins of stalactic and taiga congruences
Thomas Aird, Duarte Ribeiro
We study the four plactic-like monoids that arise by taking the meets and joins of stalactic and taiga congruences. We obtain the combinatorial objects associated with the meet mon…
math.GR2023
Semigroup identities and varieties of plactic monoids
Thomas Aird
We study the semigroup identities satisfied by finite rank plactic monoids. We find a new set of semigroup identities of the plactic monoid of rank for , which are sh…