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Irreducibility of Endomorphisms of Finitely Generated Free Semigroups
We introduce and investigate the irreducibility of endomorphisms of finitely generated free semigroups, i.e., we investigate when an endomorphism $ϕ: Σ^+ -> Σ^+$, where $Σ$ is any alphabet, can be nontrivially expressed as a composition $ϕ= ψ_2 \circ ψ_1$ of endomorphisms $ψ_1, ψ_2: Σ^+ -> Σ^+$. We,
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