Under an R-alignment restriction on morphisms to finite semigroups, every morphism into forest algebras admits bounded-depth factorizations of forests, with a counterexample showing the condition is necessary.
ifS1uS1 =S1uvS 1 then uS1 =uvS 1)
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A Factorization Theorem for Forest Algebras
Under an R-alignment restriction on morphisms to finite semigroups, every morphism into forest algebras admits bounded-depth factorizations of forests, with a counterexample showing the condition is necessary.