The concept of Γ-semigroups is a generalization of semigroups. In this
paper, we associate two transformation semigroups to a Γ-semigroup and
we call them the left and right transformation semigroups. We prove some
relationships between the ideals of a Γ-semigroup and the ideals of its left
and right transformation semigroups. Finally, we study some relationships
between Green’s equivalence relations of a Γ-semigroup and its left (right)
transformation semigroup.
