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

Citation:
Dimitrova, I., Vítor H. Fernandes, J. Koppitz, and T. M. Quinteiro. "Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set." Semigroup Forum (DOI 10.1007/s00233-023-10396-5; Online 31 Oct 2023). 107 (2023): 315-338.

Abstract:

In this paper we consider the submonoids OPDI_n, MDI_n and ODI_n of the dihedral inverse monoid DI_n of all orientation-preserving, monotone and order-preserving transformations, respectively. Our goal is to exhibit presentations for each of these three monoids.

Related External Link

arXiv:

https://arxiv.org/abs/2301.02474