1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.GR2024
A characterisation of semigroups with only countably many subdirect products with
Ashley Clayton, Catherine Reilly, Nik Ruškuc
Let be the additive (semi)group of integers. We prove that for a finite semigroup the direct product contains only countably many subdirect pr…
math.GR2019★ 1 cited
On finitary properties for fiber products of free semigroups and monoids
Ashley Clayton
We consider necessary and sufficient conditions for finite generation and finite presentability for fiber products of free semigroups and free monoids. We give a necessary and suff…
math.GR2018
On the number of subsemigroups of direct products involving the free monogenic semigroup
Ashley Clayton, Nik Ruskuc
The direct product of two free monogenic semigroups contains uncountably many pairwise non-isomorphic subdirect products. Furthermore, the following ho…