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

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2025年7月14日

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Eugenija A. Bondar

摘要

We describe all ${{\,\mathrm{\mathscr {R}}\,}}$ $R$ -cross-sections and ${{\,\mathrm{\mathscr {L}}\,}}$ $L$ -cross-sections of the monoid of order-preserving transformations on an n-element chain. The description is stated in terms of certain binary trees.

\({{\,\mathrm{\mathscr {R}}\,}}\)-cross-sections of the monoid of order-preserving transformations on a finite chain

摘要