On monotone alternating inverse monoids

Citation:
Fernandes, Vítor H. "On monotone alternating inverse monoids." (Submitted).

Abstract:

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's structures and the congruences, and calculate the ranks of these two submonoids of AI_n.

Related External Link

arXiv:

https://arxiv.org/pdf/2503.00820