This paper is concerned with finiteness conditions for finitely generated semigroups. First, we present a combinatorial result on infinite sequences from which an alternative proof of a theorem of Restivo and Reutenauer follows: a finitely generated semigroup is finite if and only if it is periodic
β¦ LIBER β¦
Combinatorial properties of smooth infinite words
β Scribed by S. Brlek; S. Dulucq; A. Ladouceur; L. Vuillon
- Book ID
- 108281161
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 224 KB
- Volume
- 352
- Category
- Article
- ISSN
- 0304-3975
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We prove the following interesting combinatorial property of the poset of the factors of a word. Let w be a word and n = G w + 2, where G w is the maximal length of a repeated factor of w. If v is any word such that the posets of the factors of v and of w up to length n are isomorphic, then v can be