Green’s relations on a semigroup of transformations with restricted partial range [Articol]

Abstract

Let T(X) denote the semigroup of all full transformations on a nonempty set X. For every pair of nonempty subsets Y and Z of X with Z Y , we denote by T(X; Y;Z) the subsemigroup of T(X) consisting of all transformations 2 T(X) such that Y Z. We characterize Green’s relations on the subsemigroup T(X; Y;Z).