35 citations · 135 across the 28 of their papers we have counts for
4 papers · 2 filters
Ends of Semigroups
S. Craik, R. Gray, V. Kilibarda +2
We define the notion of the partial order of ends of the Cayley graph of a semigroup. We prove that the structure of the ends of a semigroup is invariant under change of finite gen…
The rank of the semigroup of transformations stabilising a partition of a finite set
Joao Araujo, Wolfram Bentz, J. D. Mitchell +1
Let be a partition of a finite set . We say that a full transformation preserves (or stabilizes) the partition if for all $P\in \mathcal{P…
Enumerating Transformation Semigroups
James East, Attila Egri-Nagy, James D. Mitchell
We describe general methods for enumerating subsemigroups of finite semigroups and techniques to improve the algorithmic efficiency of the calculations. As a particular application…
Universal sequences for the order-automorphisms of the rationals
J. Hyde, J. Jonusas, J. D. Mitchell +1
In this paper, we consider the group Aut of order-automorphisms of the rational numbers, proving a result analogous to a theorem of Galvin's for the symmetric g…