5 citations · 10 across the 4 of their papers we have counts for
7 papers · 1 filter
Faithful linear and relational representations of diagram categories and monoids
James East, Marianne Johnson, Mark Kambites
We study representations of diagram categories by binary relations and matrices over rings and semirings. Our main result is a faithful involutive tensor representation of the part…
Presentations for P^K
James East
It is a classical result that the direct product AxB of two groups is finitely generated (finitely presented) if and only if A and B are both finitely generated (finitely presented…
Presentations for Temperley-Lieb algebras
James East
We give a new and conceptually straightforward proof of the well-known presentation for the Temperley-Lieb algebra, via an alternative new presentation. Our method involves twisted…
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…