2 papers
math.GR2026
Testing epimorphism onto the bicyclic monoid is -complete
Luka Carroll, Murray Elder
We prove that deciding whether there is a surjective homomorphism from an arbitrary finitely presented inverse monoid onto the bicyclic monoid is -complete. As part of…
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…