PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN
VΓtor Hugo Fernandes, Gracinda M. S. Gomes, Manuel M. Jesus Β· Communications in Algebra Β· 2005
In this paper we calculate presentations for some natural monoids of transformations on a chain X n = {1 < 2 <β s < n}. First we consider πͺπ n [π«πͺπ n ], the monoid of all full [partial] transformations on X n that preserve or reverse the order. Two other monoids of partial transformations on X n we look at are π«πͺπ« n and π«πͺβ n β-the elements of the first preserve the orientation and the elements of the second preserve or reverse the orientation.