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The intersection of free submonoids of a free monoid is free. (English) Zbl 0261.20060


MSC:

20M10 General structure theory for semigroups
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References:

[1] Blum, E.K.,Free subsemigroups of a free semigroup, Mich. Math. J. 12 (1965), 179–182. · Zbl 0134.02302
[2] Clifford, A.H. and G.B. Preston,Algebraic theory of semigroups, Vol. 2, American Math. Society (1968). · Zbl 0111.03403
[3] Cohn, P.M.,On subsemigroups of free semigroups, Proc. Amer. Math. Soc. 63 (1962), 347–351. · Zbl 0111.03801
[4] Schützenberger, M.P.,Une théorie algébrique du codage, Seminaire Dubreil-Pisot, 1955/56.
[5] Schützenberger, M.P.,Sur certains sousdemi-groupes qui interviennent dans un problème de mathématiques appliquées, Publ. Sci. Univ. d’Alger Ser. A 6 (1959), 85–90.
[6] Ŝevrin, L.N.,On subsemigroups of free semigroups, Dokl. Akad. Nauk SSSR 133 (1960), 537–539 (Russian)=Soviet Math. Dokl. 1 (1960), 892–894.
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