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A condition implying all rational identities. (Une condition impliquant toutes les identités rationnelles.) (French) Zbl 0881.68071
Summary: We show that the condition saying that \(a^*\) is the smallest idempotent \(\geq 1+a\) implies all rational identities.

MSC:
68Q45 Formal languages and automata
16Y60 Semirings
68Q70 Algebraic theory of languages and automata
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