3 papers
math.LO2026
Ultrahomogeneity and -categoricity of monounary algebras
Thomas Quinn-Gregson
Ultrahomogeneity and -categoricity are two central concepts arising from model theory, with strong connections with oligomorphic permutation groups and quantifier elimination.…
math.RA2024
Diameters of endomorphism monoids of chains
James East, Victoria Gould, Craig Miller +1
The left and right diameters of a monoid are topological invariants defined in terms of suprema of lengths of derivation sequences with respect to finite generating sets for the un…
math.GR2024
On the diameter of semigroups of transformations and partitions
James East, Victoria Gould, Craig Miller +2
For a semigroup whose universal right congruence is finitely generated (or, equivalently, a semigroup satisfying the homological finiteness property of being type right-)…