Geodesic
The intersection of free submonoids of a free monoid is free.
Semigroup forum, Tome 4 (1972), pp. 345-350.

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     author = {B. Tilson},
     title = {The intersection of free submonoids of a free monoid is free.},
     journal = {Semigroup forum},
     pages = {345--350},
     publisher = {mathdoc},
     volume = {4},
     year = {1972},
     zbl = {0261.20060},
     url = {http://geodesic.mathdoc.fr/item/SF_1972__4_133915/}
}
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B. Tilson. The intersection of free submonoids of a free monoid is free.. Semigroup forum, Tome 4 (1972), pp. 345-350. http://geodesic.mathdoc.fr/item/SF_1972__4_133915/