Geodesic
The monoid of ordered partitions of a natural number.
Semigroup forum, Tome 53 (1996) no. 2, pp. 44-56.

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Mots-clés : monoid of partial finite-to-one order-preserving transformations, sequences of nonnegative integers, positive integers, presentation, ordered partitions, posets of principal one-sided ideals, left ideals, algorithm, Hasse diagram, poset of left principal ideals 
@article{SF_1996__53_2_135468,
     author = {T.G. Lavers},
     title = {The monoid of ordered partitions of a natural number.},
     journal = {Semigroup forum},
     pages = {44--56},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {1996},
     zbl = {0852.20050},
     url = {http://geodesic.mathdoc.fr/item/SF_1996__53_2_135468/}
}
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T.G. Lavers. The monoid of ordered partitions of a natural number.. Semigroup forum, Tome 53 (1996) no. 2, pp. 44-56. http://geodesic.mathdoc.fr/item/SF_1996__53_2_135468/