32 citations · 341 across the 33 of their papers we have counts for
6 papers · 1 filter
On regularity and the word problem for free idempotent generated semigroups
Igor Dolinka, Robert D. Gray, Nik Ruškuc
The category of all idempotent generated semigroups with a prescribed structure of their idempotents (called the biordered set) has an initial object called the f…
Variants of finite full transformation semigroups
Igor Dolinka, James East
The variant of a semigroup S with respect to an element a in S, denoted S^a, is the semigroup with underlying set S and operation * defined by x*y=xay for x,y in S. In this article…
Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph
Igor Dolinka, Robert D. Gray, Jillian D. McPhee +2
We establish links between countable algebraically closed graphs and the endomorphisms of the countable universal graph . As a consequence we show that, for any countable graph…
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…
Idempotent generation in the endomorphism monoid of a uniform partition
Igor Dolinka, James East
Denote by and the full transformation semigroup and the symmetric group on the set , and $\mathcal E_n=\{1\}\cup(\mathcal T_n\setminus…
Free idempotent generated semigroups and endomorphism monoids of free -acts
Igor Dolinka, Victoria Gould, Dandan Yang
The study of the free idempotent generated semigroup over a biordered set began with the seminal work of Nambooripad in the 1970s and has seen a recent revival…