Geodesic
Wreath product of a semigroup and a Γ-semigroup
Discussiones Mathematicae. General Algebra and Applications, Tome 28 (2008) no. 2, pp. 161-178.

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Let S = a,b,c,... and Γ = α,β,γ,... be two nonempty sets. S is called a Γ -semigroup if aαb ∈ S, for all α ∈ Γ and a,b ∈ S and (aαb)βc = aα(bβc), for all a,b,c ∈ S and for all α,β ∈ Γ. In this paper we study the semidirect product of a semigroup and a Γ-semigroup. We also introduce the notion of wreath product of a semigroup and a Γ-semigroup and investigate some interesting properties of this product.
Keywords: semigroup, Γ-semigroup, orthodox semigroup, right(left) orthodox Γ-semigroup, right(left) inverse semigroup, right(left) inverse Γ-semigroup, right(left)α-unity, Γ-group, semidirect product, wreath product 
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Sen, Mridul; Chattopadhyay, Sumanta. Wreath product of a semigroup and a Γ-semigroup. Discussiones Mathematicae. General Algebra and Applications, Tome 28 (2008) no. 2, pp. 161-178. http://geodesic.mathdoc.fr/item/DMGAA_2008_28_2_a2/

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