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Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set
Published 6 Jan 2023 in math.RA | (2301.02474v2)
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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