@article {16828,
	title = {On monotone alternating inverse monoids},
	year = {Submitted},
	abstract = {<p>In this paper, we consider the inverse submonoids AM_n of monotone transformations and AO_n of order-preserving transformations of the alternating inverse monoid AI_n on a chain with n elements. We compute the cardinalities, describe the Green{\textquoteright}s structures and the congruences, and calculate the ranks of these two submonoids of AI_n.</p>
},
	url = {https://arxiv.org/abs/2503.00820},
	author = {Fernandes, V{\'\i}tor H.}
}
