Transformation semigroups associated to Γ-semigroups
Marzieh Amooshahi, Dariush Heidari · Discussiones Mathematicae - General Algebra and Applications · 2013
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.