@article {16855,
	title = {On the monoid of partial order-preserving transformations of a finite chain whose domains and ranges are intervals},
	year = {Submitted},
	abstract = {<p>In this paper, we consider the monoid PIO_n, of all partial order-preserving transformations on a chain with n elements whose domains and ranges are intervals, along with its submonoid PIO_n^- of order-decreasing transformations. Our main aim is to give presentations for PIO_n^- and PIO_n. Moreover, for both monoids, we describe regular elements and determine their ranks, cardinalities and the numbers of idempotents and nilpotents.</p>
},
	url = {https://arxiv.org/abs/2503.19459},
	author = {Ay{\i}k, H. and Fernandes, V{\'\i}tor H. and Korkmaz, E.}
}
