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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…
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 …
-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…