We ask the question of how the Rees-Suskevitch theorem should be generalised to provide representations of orbit-finite 0-simple semigroups. We believe that orbit-finite groupoids will be useful for this.

# Tag Archives: groupoid

# Orbit-finite groupoids

Orbit-finite groups are finite, and therefore not very interesting from the perspective of sets with atoms. It turns out that orbit-finite *groupoids *form interesting structures. They will be useful in the study of orbit-finite semigroups in the following post.