4 papers
Homogeneous completely simple semigroups
Thomas Quinn-Gregson
A semigroup is completely simple if it has no proper ideals and contains a primitive idempotent. We say that a completely simple semigroup is a homogeneous completely simple se…
-categoricity of semigroups II
T. Quinn-Gregson
A countable semigroup is -categorical if it can be characterised, up to isomorphism, by its first-order properties. In this paper we continue our investigation into the $…
-categoricity of semigroups
Victoria Gould, Thomas Quinn-Gregson
In this paper we initiate the study of -categorical semigroups, where a countable semigroup is -categorical if, for any natural number , the action of it…
Homogeneity of Inverse Semigroups
Thomas Quinn-Gregson
An inverse semigroup is a semigroup in which every element has a unique inverse in the sense of semigroup theory, that is, if then there exists a unique such…