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math.RA2025
Growth and identities of monogenic free adequate monoids
Thomas Aird, Daniel Heath
Motivated by recent advances in inverse semigroup theory, we investigate the growth of and identities satisfied by free left and free two-sided adequate monoids. We explicitly comp…
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…