35 citations · 42 across the 18 of their papers we have counts for
5 papers · 1 filter
Coherency properties for monoids of transformations and partitions
Matthew Brookes, Victoria Gould, Nik Ruskuc
A monoid is right coherent if every finitely generated subact of every finitely presented right -act itself has a finite presentation; it is weakly right coherent if every f…
On the number of subdirect products involving semigroups of integers and natural numbers
Ashley Clayton, Katie Reilly, Nik Ruskuc
We extend a recent result that for the (additive) semigroup of positive integers , there are continuum many subdirect products of up to i…
Heights of one- and two-sided congruence lattices of semigroups
M. Brookes, J. East, C. Miller +2
The height of a poset is the supremum of the cardinalities of chains in . The exact formula for the height of the subgroup lattice of the symmetric group is…
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-)…
Decidability of well quasi-order and atomicity for equivalence relations under embedding orderings
V. Ironmonger, N. Ruskuc
We consider the posets of equivalence relations on finite sets under the standard embedding ordering and under the consecutive embedding ordering. In the latter case, the relations…