Paul C. Bell

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cs.FL2026

Irreducibility of Endomorphisms of Finitely Generated Free Semigroups

Paul C. Bell, Eva Foster, Daniel Reidenbach

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…

cs.FL2026

On Word Representations and Embeddings in Complex Matrices

Paul C. Bell, George Kenison, Reino Niskanen +2

Embeddings of word structures into matrix semigroups provide a natural bridge between combinatorics on words and linear algebra. However, low-dimensional matrix semigroups impose s…

cs.FL2026

Irreducibility of Endomorphisms of Finitely Generated Free Semigroups

Paul C. Bell, Eva Foster, Daniel Reidenbach

We introduce and investigate the irreducibility of endomorphisms of finitely generated free semigroups, i.e., we investigate when an endomorphism $φ : Σ^{+} \to Σ^{+}$ , where $Σ$ is any…