On certain semigroups of full contractions of a finite chain

A. Umar, M. M. Zubairu

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