3 papers
math.CO2024
Heights of posets associated with Green's relations on semigroups
Matthew Brookes, Craig Miller
Given a semigroup , for each Green's relation on the -height of denoted by $H_{\mathca…
math.RA2023
Coherency properties for monoids of transformations and partitions
Matthew Brookes, Victoria Gould, Nik Ruskuc
A monoid is right coherent if every finitely generated subact of every finitely presented right -act itself has a finite presentation; it is weakly right coherent if every f…
math.GR2023
Heights of one- and two-sided congruence lattices of semigroups
M. Brookes, J. East, C. Miller +2
The height of a poset is the supremum of the cardinalities of chains in . The exact formula for the height of the subgroup lattice of the symmetric group is…