On certain Semigroup of Order-decreasing Full Contraction Mappings of a Finite Chain

M. M. Zubairu, A. Umar, J. A. Aliyu

Let ${\mathcal{C}\mathcal{T}}_n$ be the semigroup of full contraction mappings on $[n]=\{1,2,\dots ,n\}$, and let ${\mathcal{O}\mathcal{C}\mathcal{T}}_n$ and ${\mathcal{O}\mathcal{D}\mathcal{C}\mathcal{T}}_n$ be the subsemigroups consisting of al…