31 citations · 211 across the 34 of their papers we have counts for
6 papers · 1 filter
Ehresmann theory and partition monoids
James East, Robert D. Gray
This article concerns Ehresmann structures in the partition monoid . Since contains the symmetric and dual symmetric inverse monoids on the same base set , it natural…
Properties of congruences of twisted partition monoids and their lattices
James East, Nik Ruskuc
We build on the recent characterisation of congruences on the infinite twisted partition monoids and their finite -twisted homomorphic images $\mathcal{P}_{n…
Classification of congruences of twisted partition monoids
James East, Nik Ruskuc
The twisted partition monoid is an infinite monoid obtained from the classical finite partition monoid by taking into account the number of floati…
Generating the monoid of matrices over max-plus and min-plus semirings
James East, Julius Jonušas, J. D. Mitchell
In this short note, we describe generating sets for the monoids of consisting of all matrices over certain finite tropical semirings.
Presentations for tensor categories
James East
We introduce new techniques for working with presentations for a large class of (strict) tensor categories. We then apply the general theory to obtain presentations for partition,…
Congruence lattices of ideals in categories and (partial) semigroups
James East, Nik Ruskuc
This paper presents a unified framework for determining the congruences on a number of monoids and categories of transformations, diagrams, matrices and braids, and on all their id…