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Codes limites et factorisations finies du monoïde libre. (Limit codes and finite factorizations of free monoids). (French) Zbl 0643.20037

Monoidal factorizations of free monoids are introduced and studied. A totally ordered family \((M_ i)_{i\in I}\) of submonoids of the free monoid \(A^*\) is called a monoidal factorization of \(A^*\) if for every nonempty word w there are nonempty words \(m_ i\in M_{\alpha_ i}\) such that \(w=m_ 1m_ 2...m_ n\) with \(\alpha_ 1<\alpha_ 2<...<\alpha_ n\).
Reviewer: T.J.Harju

MSC:

20M05 Free semigroups, generators and relations, word problems
20M35 Semigroups in automata theory, linguistics, etc.
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References:

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