Vítor Hugo Fernandes

Citation:

Fernandes, Vítor H. "On monotone alternating inverse monoids." Afrika Matematika (In Press).

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.