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Abstract
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.
1This research was prepared within the project PRAXIS/2/2.1/MAT/73/94, CAUL, and it was supported, in part, by INVOTAN Grant 9/A/96/PO.
1This research was prepared within the project PRAXIS/2/2.1/MAT/73/94, CAUL, and it was supported, in part, by INVOTAN Grant 9/A/96/PO.
Notes
1This research was prepared within the project PRAXIS/2/2.1/MAT/73/94, CAUL, and it was supported, in part, by INVOTAN Grant 9/A/96/PO.
