On Morphisms Preserving Primitive Words
نویسنده
چکیده
A word is called primitive if it cannot be expressed as the power of another word. Morphisms preserving primitive words are investigated. Similarly to the word case, each square-free morphism is a primitive morphism but the converse does not hold. A precise characterization of primitive morphisms is provided in terms of pure codes. An easily testable characterization is given for uniform morphisms over the binary alphabet. TUCS Research Group Mathematical Structures of Computer Science
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In the present paper, we introduce an alternative notion of the primitivity of words, that – unlike the standard understanding of this term – is not based on the power (and, hence, the concatenation) of words, but on morphisms. For any alphabet Σ, we call a word w ∈ Σ∗ morphically imprimitive provided that there are a shorter word v and morphisms h, h′ : Σ∗ → Σ∗ satisfying h(v) = w and h′(w) = ...
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تاریخ انتشار 1996