Factorization forests of finite height (Q908712)
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scientific article; zbMATH DE number 4135417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorization forests of finite height |
scientific article; zbMATH DE number 4135417 |
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Factorization forests of finite height (English)
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1990
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We introduce factorization forests. It is shown that the vertex set of a dense factorization forest of finite height satisfies a bounded gap Ramsey-type property of words. The main result is that every morphism from a free semigroup to a finite semigroup S admits a Ramseyan factorization forest of height at most \(9| S|\). Technique for constructing factorization forests are developed.
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factorization
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Ramsey-type property of words
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free semigroup
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