%0 Journal Article %A Freydenberger, Dominik %A Reidenbach, Daniel %A Schneider, Johannes C. %D 2008 %T Unambiguous morphic images of strings %U https://repository.lboro.ac.uk/articles/journal_contribution/Unambiguous_morphic_images_of_strings/9403250 %2 https://repository.lboro.ac.uk/ndownloader/files/17019833 %K untagged %K Information and Computing Sciences not elsewhere classified %X Motivated by the research on pattern languages, we study a fundamental combinatorial question on morphisms in free semigroups: With regard to any string α over some alphabet we ask for the existence of a morphism σ such that σ(α) is unambiguous, i.e. there is no morphism ρ with ρ ≠ σ and ρ(α) = σ(α). Our main result shows that a rich and natural class of strings is provided with unambiguous morphic images. %I Loughborough University