1 citations · 1 across the 8 of their papers we have counts for
9 papers
Involutions of (twisted) diagram monoids
James East, P. A. Azeef Muhammed
We classify the involutions of all of the most well-studied diagram monoids -- namely the partition, planar partition, partial Brauer, Motzkin, Brauer and Temperley--Lieb monoids -…
Maximal subgroups of free projection- and idempotent-generated semigroups with applications to partition monoids
James East, Robert D. Gray, P. A. Azeef Muhammed +1
This paper investigates the maximal subgroups of a free projection-generated regular -semigroup over a projection algebra , and their relationship to the maximal subg…
Twisted products of monoids
James East, Robert D. Gray, P. A. Azeef Muhammed +1
A twisting of a monoid is a map satisfying the identity . Together with an additive commutative monoid , and…
Categorical representation of DRC-semigroups
James East, Matthias Fresacher, P. A. Azeef Muhammed +1
DRC-semigroups model associative systems with domain and range operations, and contain many important classes, such as inverse, restriction, Ehresmann, regular -, and -regula…
Diameters of endomorphism monoids of chains
James East, Victoria Gould, Craig Miller +1
The left and right diameters of a monoid are topological invariants defined in terms of suprema of lengths of derivation sequences with respect to finite generating sets for the un…
Projection algebras and free projection- and idempotent-generated regular -semigroups
James East, Robert D. Gray, P. A. Azeef Muhammed +1
The purpose of this paper is to introduce a new family of semigroups - the free projection-generated regular -semigroups - and initiate their systematic study. Such a semigroup…
Congruences of maximum regular subsemigroups of variants of finite full transformation semigroups
Igor Dolinka, James East, Nik Ruškuc
Let be the full transformation monoid over a finite set , and fix some of rank . The variant has underlying set , and operation .…
Heights of one- and two-sided congruence lattices of semigroups
M. Brookes, J. East, C. Miller +2
The height of a poset is the supremum of the cardinalities of chains in . The exact formula for the height of the subgroup lattice of the symmetric group is…
On the diameter of semigroups of transformations and partitions
James East, Victoria Gould, Craig Miller +2
For a semigroup whose universal right congruence is finitely generated (or, equivalently, a semigroup satisfying the homological finiteness property of being type right-)…