35 citations · 42 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
Filtered Boolean powers of finite simple non-abelian Mal'cev algebras
Peter Mayr, Nik Ruškuc
Let be a finite simple non-abelian Mal'cev algebra (e.g. a group, loop, ring). We investigate the Boolean power of by the countable atomless…
On Finite Presentability of Subsemigroups of the Monogenic Free Inverse Semigroup
Yung Won Cho, Nik Ruskuc
The monogenic free inverse semigroup is not finitely presented as a semigroup due to the classic result by Schein (1975). We extend this result and prove that a finitely gen…
Graph products of residually finite monoids are residually finite
Jung Won Cho, Victoria Gould, Nik Ruškuc +1
We show that any graph product of residually finite monoids is residually finite. As a special case we obtain that any free product of residually finite monoids is residually finit…
Congruences of maximum regular subsemigroups of variants of finite full transformation semigroups
Igor Dolinka, James East, Nik Ruškuc
Let be the full transformation monoid over a finite set , and fix some of rank . The variant has underlying set , and operation .…
Generators and presentations of inverse subsemigroups of the monogenic free inverse semigroup
Jung Won Cho, Nik Ruskuc
It was proved by Oliveira and Silva (2005) that every finitely generated inverse subsemigroup of the monogenic free inverse semigroup is finitely presented. The present pape…