On the Dominions of Certain Semigroups of Transformations

Halima H. Assiri, Jehan A. Albar

In the full transformation semigroup $T_n$ on a finite chain $X_n$, let $D_n=\{\hat{I}\pm \in T_n:(\forall x\in X_n)x\hat{I}\pm \le x\}$ be the subsemigroup of all order-decreasing maps of $T_n…