@article {16549,
	title = {On three submonoids of the dihedral inverse monoid on a finite set},
	journal = {Bulletin of the Malaysian Mathematical Sciences Society (DOI 10.1007/s40840-023-01620-0; Online 11 Dec 2023)},
	volume = {47},
	year = {2024},
	pages = {27},
	abstract = {<p>In this paper we consider three submonoids of the dihedral inverse monoid DI_n, namely its submonoids OPDI_n, MDI_n and ODI_n of all orientation-preserving, monotone and order-preserving transformations, respectively. For each of these three monoids, we compute the cardinal, give descriptions of Green{\textquoteright}s relations and determine the rank.</p>
},
	url = {https://doi.org/10.1007/s40840-023-01620-0},
	author = {Dimitrova, I. and Fernandes, V{\'\i}tor H. and Koppitz, J. and T.M. Quinteiro}
}
