Geodesic
$\mathcal{H-}$ and $\mathcal{R-}$cross-sections of the full finite semigroup $T_n$
Algebra and discrete mathematics, no. 3 (2003), pp. 82-88

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All $\mathcal{H}-$ and $\mathcal{R}-$ cross-sections of the full finite semigroup $T_n$ of all transformations of the set $N=\{1,2,\ldots,n\}$ are described.
Keywords: full finite semigroup, Green relations, cross-sections. 
@article{ADM_2003_3_a4,
     author = {Vasyl Pyekhtyeryev},
     title = {$\mathcal{H-}$ and $\mathcal{R-}$cross-sections of the full finite semigroup $T_n$},
     journal = {Algebra and discrete mathematics},
     pages = {82--88},
     publisher = {mathdoc},
     number = {3},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2003_3_a4/}
}
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Vasyl Pyekhtyeryev. $\mathcal{H-}$ and $\mathcal{R-}$cross-sections of the full finite semigroup $T_n$. Algebra and discrete mathematics, no. 3 (2003), pp. 82-88. http://geodesic.mathdoc.fr/item/ADM_2003_3_a4/