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20212023
most citedIdentities of tropical matrices and plactic monoids

1 citations · 1 across the 5 of their papers we have counts for

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math.RA2022

Tropical Representations and Identities of the Stylic Monoid

Thomas Aird, Duarte Ribeiro

We exhibit a faithful representation of the stylic monoid of every finite rank as a monoid of upper unitriangular matrices over the tropical semiring. Thus, we show that the stylic…

math.RA2022

Generating sets, presentations, and growth of tropical matrix monoids

Thomas Aird

We construct minimal and irredundant generating sets for a family of submonoids of the monoid of upper triangular matrices over a commutative semiring. We show that th…