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- W97187568 abstract "Soit Γ un ensemble non vide et fini des matrices carrees de dimension n a entrees dans le semi-anneau N. Considerons le monoide de matrices Γ*=∪Γλ/λ≥0 engendre par Γ. Nous demontrons: Si Γ* est fini, alors Γ*=∪Γλ/λ=0 ou N=Γe 2 •n!¬−2. Cette assertion est fausse pour chaque N plus petit que 2 n −2. Si Γ a exactement un element et Γ* est fini, alors Γ*=N/∪/λ=0 Γλ ou N=n/max/l=0 (l+g(n−l))−1 (g represente la fonction de Landau). Dans la derniere assertion n est minimal" @default.
- W97187568 created "2016-06-24" @default.
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- W97187568 date "1991-01-01" @default.
- W97187568 modified "2023-09-24" @default.
- W97187568 title "On finitely generated monoids of matrices with entries in $mathbb {N}$" @default.
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- W97187568 doi "https://doi.org/10.1051/ita/1991250100191" @default.
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