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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 -…
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 .…