Su una condizione di finitezza per semigruppi finitamente generati |
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Authors: | Giuseppe Pirillo |
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Institution: | 1. I.A.M.I.-CNR, I.A.G.A., Viale Morgagni 67/A, 50134, Firenze
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Abstract: | We prove that a finitely generated semigroupS is finite if and only if there exists an integern such that in each sequence ofn elements ofS there exist two different non empty factors with the same value inS. We prove this result using only elementary facts concerning the canonical form of an element of a finitely generated semigroup. |
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