congruences 1Green's relations 1inverse monoids 1monotone transformations 1order-preserving transformations 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.RA2026
On monotone alternating inverse monoids
VÃtor Hugo Fernandes
The paper investigates two inverse submonoids of the alternating inverse monoid on a finite chain, determining their cardinalities, describing their Green's relations and congruenc…
math.RA2025
On oriented alternating inverse monoids
VÃtor Hugo Fernandes
In this paper, we consider the inverse submonoids of oriented transformations and of orientation-preserving transformations of the alternating inverse monoid …