2 papers
math.RA2026
Minimum transformation representations of diagram monoids
Reinis Cirpons, James East, James D. Mitchell
We obtain formulae for the minimum transformation degrees of the most well-studied families of finite diagram monoids, including the partition, Brauer, Temperley--Lieb and Motzkin…
math.RA2025
Computing finite index congruences of finitely presented semigroups and monoids
Marina Anagnostopoulou-Merkouri, Reinis Cirpons, James D. Mitchell +1
In this paper, we describe an algorithm for computing the left, right, or 2-sided congruences of a finitely presented semigroup or monoid with finitely many classes, and an alterna…