Geodesic
Finite submonoids of free left regular bands with unit
Algebra i logika, Tome 59 (2020) no. 6, pp. 680-701

Voir la notice de l'article provenant de la source Math-Net.Ru

We deal with subsemigroups of a free left regular band ${\mathcal{F}}_n$ of rank $n$. It is proved that any finite, right hereditary, left regular band with a linearly ordered support semilattice is embedded in ${\mathcal{F}}_n$ for some $n$.
Keywords: free left regular band, submonoid, subsemigroup, support semilattice. 
@article{AL_2020_59_6_a3,
     author = {A. N. Shevlyakov},
     title = {Finite submonoids of free left regular bands with unit},
     journal = {Algebra i logika},
     pages = {680--701},
     publisher = {mathdoc},
     volume = {59},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_6_a3/}
}
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A. N. Shevlyakov. Finite submonoids of free left regular bands with unit. Algebra i logika, Tome 59 (2020) no. 6, pp. 680-701. http://geodesic.mathdoc.fr/item/AL_2020_59_6_a3/