## 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.

### Keywords:

Monoidal factorizations; free monoids
Full Text:

### References:

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