Regularity and Green's Relations for Finite Semigroups of Transformations Preserving Divisible and Orientation
Chen Xian-jun · Journal of Jiaying University · 2010
Let Xn ={1,2,…,n}be a finite totally ordered set and TD(Xn)={α∈Tn:x∈Xn,x|n→xα|n} is a finite transformation semigroup preserving divisible on it.Let DOn={α∈TD(Xn):x,y∈Xn,x≤y→xa≤yα}then DOn is a subsemigroup of TD(Xn).This paper describes Green's relations and regular element for DOn.