Communications of the
Korean Mathematical Society CKMS

Following the new description of an oriented full transformation on a finite chain given recently by Higgins and Vernitski in [4], in this short note we present a refinement of this description which is extendable to partial transformations and to injective partial transformations.

Keywords: Orientation-preserving transformations, orientation-reversing transformations, oriented transformations

MSC numbers: Primary 20M20

Supported by: This work is funded by national funds through the FCT - Fundac c~ao para a Ci^encia e a Tecnologia, I.P., under the scope of the projects UIDB/00297/2020 and UIDP/00297/2020 (NovaMath - Center for Mathematics and Applications).