7 citations · 20 across the 11 of their papers we have counts for
11 papers
Counting monogenic monoids and inverse monoids
L. Elliott, A. Levine, J. D. Mitchell
In this short note, we show that the number of monogenic submonoids of the full transformation monoid of degree for , equals the sum of the number of cyclic subgroups of…
Computing finite index congruences of finitely presented semigroups and monoids
Marina Anagnostopoulou-Merkouri, Reinis Cirpons, James D. Mitchell +1
In this paper, we describe an algorithm for computing the left, right, or 2-sided congruences of a finitely presented semigroup or monoid with finitely many classes, and an alterna…
An algebraic model for inversion and deletion in bacterial genome rearrangement
Chad Clark, Julius Jonušas, James D. Mitchell +1
Inversions, also sometimes called reversals, are a major contributor to variation among bacterial genomes, with studies suggesting that those involving small numbers of regions are…
Polish topologies on endomorphism monoids of relational structures
L. Elliott, J. Jonušas, J. D. Mitchell +2
In this paper we present general techniques for characterising minimal and maximal semigroup topologies on the endomorphism monoid of a countable r…
The Todd-Coxeter Algorithm for Semigroups and Monoids
T. D. H. Coleman, J. D. Mitchell, F. L. Smith +1
In this paper we provide an account of the Todd-Coxeter algorithm for computing congruences on semigroups and monoids. We also give a novel description of an analogue for semigroup…
Properties of Congruence Lattices of Graph Inverse Semigroups
Marina Anagnostopoulou-Merkouri, Zak Mesyan, James D. Mitchell
From any directed graph one can construct the graph inverse semigroup , whose elements, roughly speaking, correspond to paths in . Wang and Luo showed that the congrue…