### The embedding of an ordered semigroup in a simple one with identity.

N. Kehayopulu, M. Tsingelis (1996)

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N. Kehayopulu, M. Tsingelis (1996)

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P. A. Meyer (1982)

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Mridul K. Sen, Sumanta Chattopadhyay (2008)

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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.

T.E. Hall (1974)

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J.W. Hogan (1984)

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