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
Presentations for semigroups of full-domain partitions
Luka Carroll, James East, Matthias Fresacher
The full-domain partition monoid has been discovered independently in two recent studies on connections between diagram monoids and category theory. It is a right restri…