Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set
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 th...
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| creator | Dimitrova, Ilinka Fernandes, Vítor H Koppitz, Jörg Quinteiro, Teresa M |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2301.02474 |
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| subjects | Mathematics - Rings and Algebras Monoids |
| title | Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set |
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