Vitor Fernandes

collaborators

4 papers

math.RA2025

On oriented alternating inverse monoids

Vítor Hugo Fernandes

In this paper, we consider the inverse submonoids $A O R_{n}$ of oriented transformations and $A O P_{n}$ of orientation-preserving transformations of the alternating inverse monoid $A I_{n}$ …

math.RA2025

On monotone alternating inverse monoids

Vítor Hugo Fernandes

In this paper, we consider the inverse submonoids $A M_{n}$ of monotone transformations and $A O_{n}$ of order-preserving transformations of the alternating inverse monoid $A I_{n}$ on a ch…

math.RA2024

On the monoid of order-preserving transformations of a finite chain whose ranges are intervals

Vítor H. Fernandes

In this note we give a presentation for the monoid $I O_{n}$ of all order-preserving transformations of a $n$ -chain whose ranges are intervals. We also consider the submonoid $I O_{n}^{-}$ …

math.RA2024

Oriented transformations on a finite chain: another description

Vítor H. Fernandes

Following the new description of an oriented full transformation on a finite chain given recently by Higgins and Vernitski in "Orientation-preserving and orientation-reversing mapp…