Weakly self-injective semilattices.
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F.R. McMorris, C.S. jr. Johnson (1974)
Semigroup forum
J. Gregory Dobbins (1976)
Mathematische Zeitschrift
T. Evans (1972)
Semigroup forum
Mridul K. Sen, Sumanta Chattopadhyay (2008)
Discussiones Mathematicae - General Algebra and Applications
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.
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