1 citations · 1 across the 5 of their papers we have counts for
5 papers
A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell +1
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. A…
Computing congruences of finite inverse semigroups
Luna Elliott, Alex Levine, James D. Mitchell
In this paper we present a novel algorithm for computing a congruence on an inverse semigroup from a collection of generating pairs. This algorithm uses a myriad of techniques from…
Classifying the Polish semigroup topologies on the symmetric inverse monoid
Serhii Bardyla, Luna Elliott, James Mitchell +1
We classify all Polish semigroup topologies on the symmetric inverse monoid on the natural numbers. This result answers a question of Elliott et al. There are countably infinitely…
E-disjunctive inverse semigroups
Luna Elliott, Alex Levine, James Mitchell
In this paper we provide an overview of the class of inverse semigroups such that every congruence on relates at least one idempotent to a non-idempotent; such inverse semi…
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…