## Sur les ensembles générateurs minimaux des sous-monoïdes de $$A^{\infty}$$. (The minimum generator sets of $$A^{\infty}$$ submonoids).(French)Zbl 0578.68063

Summary: The monoid of all finite and infinite words over an alphabet A is denoted $$A^{\infty}$$. We characterize here the submonoids of $$A^{\infty}$$ which have a minimum set of generators.

### MSC:

 68Q45 Formal languages and automata 20M35 Semigroups in automata theory, linguistics, etc.