1 citations · 1 across the 10 of their papers we have counts for
12 papers
Ultrahomogeneity of monounary algebras
Thomas Quinn-Gregson
A structure is ultrahomogeneous if every isomorphism between finitely generated substructures can be extended to an automorphism of the structure. The aim of this paper is to provi…
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…
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-)…
On minimal ideals in pseudo-finite semigroups
Victoria Gould, Craig Miller, Thomas Quinn-Gregson +1
A semigroup is said to be right pseudo-finite if the universal right congruence can be generated by a finite set , and there is a bound on the length of d…
Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups
Peter J Cameron, James East, Des FitzGerald +3
For a positive integer , the full transformation semigroup consists of all self maps of the set under composition. Any finite semigroup embeds in some…
HS-stability and complex products in involution semigroups
Bertalan Bodor, Erkko Lehtonen, Thomas Quinn-Gregson +1
When does the complex product of a given number of subsets of a group generate the same subgroup as their union? We answer this question in a more general form by introducing HS-st…
Solving Equation Systems in -categorical Algebras
Manuel Bodirsky, Thomas Quinn-Gregson
We study the computational complexity of deciding whether a given set of term equalities and inequalities has a solution in an -categorical algebra . There are …
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…
Homogeneous Bands
Thomas Quinn-Gregson
A countable band is called homogeneous if every isomorphism between finitely generated subbands extends to an automorphism of . In this paper we give a complete classificati…