24 citations · 92 across the 28 of their papers we have counts for
37 papers
On the number of countable subdirect powers of finite commutative semigroups
Ashley Clayton, Nik Ruskuc
In 1981/82, Hickin \& Plotkin and McKenzie both proved that a finite group has only countably many non-isomorphic subdirect powers if and only if it is abelian. In this paper, we p…
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…
On groups of units of special and one-relator inverse monoids
Robert D. Gray, Nik Ruskuc
We investigate the groups of units of one-relator and special inverse monoids. These are inverse monoids which are defined by presentations where all the defining relations are of…
On separability properties in direct products of semigroups
Gerard O'Reilly, Martyn Quick, Nik Ruskuc
We investigate four finiteness conditions related to residual finiteness: complete separability, strong subsemigroup separability, weak subsemigroup separability and monogenic subs…
Properties of congruences of twisted partition monoids and their lattices
James East, Nik Ruskuc
We build on the recent characterisation of congruences on the infinite twisted partition monoids and their finite -twisted homomorphic images $\mathcal{P}_{n…
Classification of congruences of twisted partition monoids
James East, Nik Ruskuc
The twisted partition monoid is an infinite monoid obtained from the classical finite partition monoid by taking into account the number of floati…