Highly Influenced

# PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN#

@inproceedings{Fernandes2011PRESENTATIONSFS, title={PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN#}, author={V{\'i}tor H. Fernandes and Gracinda M. S. Gomes and Manuel Messias Alvino de Jesus}, year={2011} }

- Published 2011

In this paper we calculate presentations for some natural monoids of transformations on a chain Xn = 1 < 2 < · · · < n . First we consider n [ n], the monoid of all full [partial] transformations on Xn that preserve or reverse the order. Two other monoids of partial transformations on Xn we look at are n and n—the elements of the first preserve the orientation and the elements of the second preserve or reverse the orientation.