Geodesic
Transformation semigroups associated to Γ-semigroups
Discussiones Mathematicae. General Algebra and Applications, Tome 33 (2013) no. 2, pp. 249-259

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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.
Keywords: transformation semigroup, Γ-semigroup, Green's relations 
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Heidari, Dariush; Amooshahi, Marzieh. Transformation semigroups associated to Γ-semigroups. Discussiones Mathematicae. General Algebra and Applications, Tome 33 (2013) no. 2, pp. 249-259. http://geodesic.mathdoc.fr/item/DMGAA_2013_33_2_a9/