The monoid of all injective orientation preserving partial transformations on a finite chain
Vítor Hugo Fernandes · Communications in Algebra · 2000
In this paper we study several structural properties of the monoids POPIn of all injective orientation preserving partial transformations on a chain with n elements: we establish descriptions for the ideals and for the congruences of these monoids and we show that POPIn is a 2-generated semigroup, for all n∈ N. Our main aim is to give a presentation for these monoids.