35 citations · 72 across the 7 of their papers we have counts for
7 papers
Topological embeddings into transformation monoids
S. Bardyla, L. Elliott, J. D. Mitchell +1
In this paper we consider the questions of which topological semigroups embed topologically into the full transformation monoid or the symmetric inverse m…
Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones
L. Elliott, J. Jonušas, Z. Mesyan +3
In this paper we explore the extent to which the algebraic structure of a monoid determines the topologies on that are compatible with its multiplication. Specifically we s…
Computing finite semigroups
J. East, A. Egri-Nagy, J. D. Mitchell +1
Using a variant of Schreier's Theorem, and the theory of Green's relations, we show how to reduce the computation of an arbitrary subsemigroup of a finite regular semigroup to that…
Chains of subsemigroups
Peter J. Cameron, Maximilien Gadouleau, James D. Mitchell +1
We investigate the maximum length of a chain of subsemigroups in various classes of semigroups, such as the full transformation semigroups, the general linear semigroups, and the s…
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…
Topological Graph Inverse Semigroups
Z. Mesyan, J. D. Mitchell, M. Morayne +1
To every directed graph one can associate a \emph{graph inverse semigroup} , where elements roughly correspond to possible paths in . These semigroups generalize polyc…
The Bergman-Shelah Preorder on Transformation Semigroups
Z. Mesyan, J. D. Mitchell, M. Morayne +1
Let $\nat^\nat$ be the semigroup of all mappings on the natural numbers $\nat$, and let and be subsets of $\nat^\nat$. We write if there exists a countabl…