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arXiv · 2208.09661

$\mathscr{R}$-cross-sections of the monoid of order-preserving transformations on a finite chain

Eugenija A. Bondar
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Abstract

We classify the $\mathscr{R}$-cross-sections of the monoid of order-preserving transformations on the $n$-element chain in terms of certain binary trees.

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Eugenija A. Bondar. 2022-08-20. $\mathscr{R}$-cross-sections of the monoid of order-preserving transformations on a finite chain. https://arxiv.org/abs/2208.09661

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