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arXiv · 2301.02474

Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set

Ilinka Dimitrova·Vítor H. Fernandes·Jörg Koppitz·Teresa M. Quinteiro
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Abstract

In this paper we consider the submonoids $\mathcal{OPDI}_n$, $\mathcal{MDI}_n$ and $\mathcal{ODI}_n$ of the dihedral inverse monoid $\mathcal{DI}_n$ of all orientation-preserving, monotone and order-preserving transformations, respectively. Our goal is to exhibit presentations for each of these three monoids.

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Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz, Teresa M. Quinteiro. 2023-01-06. Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set. https://doi.org/10.1007/s00233-023-10396-5

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