30 citations · 30 across the 3 of their papers we have counts for
4 papers
Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups
Peter J Cameron, James East, Des FitzGerald +3
For a positive integer , the full transformation semigroup consists of all self maps of the set under composition. Any finite semigroup embeds in some…
Enumeration of idempotents in planar diagram monoids
Igor Dolinka, James East, Athanasios Evangelou +5
We classify and enumerate the idempotents in several planar diagram monoids: namely, the Motzkin, Jones (a.k.a. Temperley-Lieb) and Kauffman monoids. The classification is in terms…
Enumeration of idempotents in diagram semigroups and algebras
Igor Dolinka, James East, Athanasios Evangelou +4
We give a characterisation of the idempotents of the partition monoid, and use this to enumerate the idempotents in the finite partition, Brauer and partial Brauer monoids, giving…
A Presentation for the Dual Symmetric Inverse Monoid
David Easdown, James East, D. G. FitzGerald
The dual symmetric inverse monoid is the inverse monoid of all isomorphisms between quotients of an -set. We give a monoid presentation of an…