Fernandes, Vítor H.Gomes, Gracinda M. S.Jesus, Manuel M.2011-04-152011-04-1520040092-7872http://hdl.handle.net/10362/5520Communications in Algebra, 33 (2005), p. 587-604In 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.engMonoidOrder-preservingOrientation-preservingPresentationTransformationjournal article