Using automated reasoning tools: A study of the semigroup F2B2.
R. McFadden, E. Lusk (1987)
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R. McFadden, E. Lusk (1987)
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Y.S. Park, J.P. Kim (1991)
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J.S. Ponizovskii (1990)
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G. Song (1994)
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C.L. Adair (1980)
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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.