Regularity and Green's relations for the semigroup of partial contractions of a finite chain

B. Ali, A. Umar, M. M. Zubairu

Let $[n]=\{1,2,\dots ,n\}$ be a finite chain and let ${\mathcal{P}}_n$ be the semigroup of partial transformations on $[n]$. Let $\mathcal{CP}_{n}=\{α\in \mathcal{P}_{n}: (for~all…